What is the slope of the line that passes through the points (8, 7)(8,7) and (4, 5) ?(4,5)? Write your answer in simplest form.
Answers
Work shown in attached image:
The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 5 - 7 ) / ( 4 - 8 )
Slope = -2 / -4
Slope = 1 / 2
Calculate the y-intercept,
y = mx + c
5 = 1 / 2 x 4 + c
c = 5 - 2 = 3
The equation is written as,
y = mx + c
y = 1/2x + 3
Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ3
Related Questions
PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!
Answers
Answer:
I'm pretty sure it's the first one. If i'm wrong i am terribly sorry
Step-by-step explanation:
Answer:
Y-intercept is -6 and the slope is 1
Step-by-step explanation:
You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.
The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by
P = 5.5e^kt,
where t is the year, with
t = 6
corresponding to 2006. In 2008, the population was 7000.
Find the value of k for the model. Round your result to four decimal places.
Use your model to predict the population in 2018. (Round your answer to the nearest person.)
Answers
Answer:
k= 0.8936P = 53198890Step-by-step explanation:
In 2008
t = 8P= 7000As per equation, P = 5.5e^kt
7000 = 5.5e^(8k)e^(8k) = 7000/5.5e^(8k) = 1272.7272ln e^8k = ln 1272.72728k = 7.14891k= 7.14891/8k= 0.8936In 2018, t= 18, k= 0.8936
P = 5.5e^(18*0.8936)P = 531988903 If the function f(x)=2x-3 and g(x)=x+1 then which of the following is a true statement? 2 (1) f(0)>g(0) (3) f (8)=g(8) (2) f(2)=g(2) (4) g(4)< f(4)
Answers
Answer:2(1)
Step-by-step explanation:
The graph below represents the rate at which Melanie listens to songs. What is the equation that represents the relationship between hours spent listening and number of songs.
A: y=4x
B: y=12x
C: y=7x
D: y=3x
Answers
Answer:
4x
Step-by-step explanation:
So what you wanna do is look everywhere a point is on a line perfectly. Then see how much it takes per point that's on a line perfectly
Evaluate the expression on top helllp pls
Answers
Answer:
159
Step-by-step explanation:
Answer:
the answer is 59
Step-by-step explanation:
apply
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First, add inside the parentheses. Your equation is now 8^2-5.
8 squared is sixty four, and subtract five to get 59. Hope this helped!
A class of 32 students has 12 girls. What is the ratio of girls to boys?
A. 3:5
B. 5:3
C. 3:8
D. 8:3
Answers
Answer:
d is the answer
in think
Step-by-step explanation:
try it
Answer:
A
Step-by-step explanation:
Number of student=32
Number of girls=12
Number of boys=32-12
=20
Ratio of girls to boys=12:20
=6:10
=3:5
HELPP PLEASE WILL GIVE BRAINLIEST‼️‼️
Answers
Answer:
Its B Trust now gimme the thingy
Step-by-step explanation:
Answer:
Answer D
Step-by-step explanation:
D because (x-2)2 =(4,14)
Which point on the number line could represent Negative 2 and one-fourth?
Answers
Answer:B
Step-by-step explanation:
Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3
Answers
Answer:
A
Step-by-step explanation:
538 = ? hundred + ? tens + ? ones
What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens
Answers
Answer:
500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.
Step-by-step explanation:
500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.
Solve the equation below for x.
1/2(x+2)=7/5
Answers
Answer:
x = 4/5
Step-by-step explanation:
please help!!!! i will mark the 1st person brainliest!
Answers
Answer:
i am the first person to answer mark me brainliest! :D
Step-by-step explanation:
In the past year Rita watched movies 48 that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
80%
Step-by-step explanation:
Divide 48 by 60
48/60
Michelle delivers books to school libraries. Her truck has a slide out ramp for unloading the books. The top of the ramp is 3 feet above the ground. The ramp itself is 5.2 feet long. What is the horizontal distance the ramp reaches?
whoever answers first gets brainliest
Answers
Answer:
4ft
Step-by-step explanation:
ASAP pls help need help
Answers
Answer:
one point five hundred sixteen thousandths
Step-by-step explanation:
Write an equation for the line passing through the given pair of points. Give the final answer in standard form.
(-2,-1) and (3,-4)
The equation of the line in standard form is___
Answers
Answer:
y= -3/5x -2.2
Step-by-step explanation:
you can graph it or solve it mathematically
35% of Mr. Chen's class loves the new Gym. He has 80 students in his class. How many of Mr. Chen’s students did not like the gym?
Answers
65% did not like the gym class.
So 65% of 80 is 52.
Answer:
52
Step-by-step explanation:
35% of 80= 28
28 people loves gym
80-28=52
52 people doesn't love the gym
f(4)
if g(x) = 2, x =
Answers
but if it’s wrong sorry
el señor y la señora la señora mostaza tiene 6 hijas cada uno tiene un hermano Cuántos son en total en la familia
Answers
Queremos ver cuantos miembros hay en la familia, veremos que son 10 en total.
Primero conocemos al señor y la señora Mostaza, es decir, tenemos dos personas.
Luego se nos dice que tienen 6 hijos, entonces ahora tenemos:
6 + 2 = 8 personas en total.
Finalmente, sabemos que tanto el señor Mostaza como la señora Mostaza tienen un hermano, es decir, sumamos otras 2 personas para obtener:
8 + 2 = 10 personas en total.
Así podemos concluir que hay 10 personas en la familia.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/13762176
which function has the range (-infinity,-2]U[0,infinity)?
a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1
Answers
Answer:
y= csc(x)+1
Step-by-step explanation:
A P E X
cosec(X) + 1 has the range (-infinity,-2]U[0,infinity)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1
Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).
So,
Range of Cosec (x) +1 will be ,
= (-∞,-1+1] ∪ [1+1,∞).
= (-∞, 0] ∪ [2,∞)
Learn more about this concept here:
https://brainly.com/question/4471564
#SPJ2
Evaluate 2/g + 2h + 5 when g=3 and h=6
Answers
Answer:
17 2/3
Step-by-step explanation:
2/g + 2h + 5 when g = 3 and h = 6
~Substitute
2/3 + 2(6) + 5
~Simplify
2/3 + 12 + 5
~Add
12 2/3 + 5
~Add
17 2/3
Best of Luck!
You want to buy carpet for your living room. The room is rectangular and the dimensions are 10 feet by 6 feet. How many square feet of carpet do you need to buy?
Answers
Answer:
60 ft^2
Step-by-step explanation:
This is a problem where you calculate the area of a rectangle A=bh. b=10 and h=6 so A=6*10 or 60 ft^2
Which numbers between 20 and 50 have
just two factors?
Answers
Answer:
The definition of a prime number is a number with only two factors - 1 and itself; 5 is an example. Between 20 and 50 you have 23, 29, 31, 37, 41, 43, and 47. Notice they are all odd numbers.
Step-by-step explanation:
The numbers between 20 and 50 have two factors are 23, 29, 31, 37, 41, 43, 47.
What are prime numbers ?Prime numbers are very special type of numbers they have only two factors 1 and the prime number it self.The smallest and only even prime number is 2.There are infinite no. of prime numbers.
According to the given question we have to find numbers between 20 and 50 which have just two factors.
We know prime numbers have two factors which are 1 and the prime number it self.
∴ The numbers are 23, 29, 31, 37, 41, 43, 47.
learn more about prime numbers here :
https://brainly.com/question/11799672
#SPJ2
Would someone please help me with this pre final practice?
Answers
Answer:
i think 5 so i say pick 5 because 19no 12no10 no so it 5
The slope of the line that passes through the points (0, 3) and (5, 13) Is
Answers
Answer:
The slope would be 2
Step-by-step explanation:
Charlie saves $22.25 each month for 6 months. In the seventh month, he only saves $10.30. How much money will Charlie have saved after 7 months?
Answers
Charlie would save $143.8 after 7 months.
convert 25 liter to millilliter
Answers
Answer: 25,000 milliliter
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Just \bf MULTIPLY the liter (25) from 1,000}[/tex]
[tex]\large\textsf{25}\times\large\textsf{1,000 = ANSWER}[/tex]
[tex]\large\textsf{= \underline{\bf 25,000 }}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 25,000 mL (Milliliters) }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
carrie missed 12% of problems on coach Blanes Texas History test The test had a total of 125 problems did Carrie get correct on the test
Answers
Answer:
110
Step-by-step explanation:
just subtract the percent :)
between which two consecutive whole numbers does the square root 72 lie?
Answers
Answer:
8 and 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
since 72 lies between 64 and 81, then the square root must lie between 8 and 9
Determine which expression is equivalent to 15a + 6. (5 points)
a
3(5a + 6)
b
3(5a + 2)
c
5(3a + 6)
d
5(3a + 2)
Question 2 (5 points)
(03.01 LC)
Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If s represents the number of seventh grade students who came to the dance and g represents the number of eighth grade students at the dance, which expression best represents the total money collected for attending the dance. (5 points)
a
6.25s + g
b
6.25(s + g)
c
13.50(s + g)
d
13.50s + g
Question 3 (5 points)
(03.01 LC)
Ken and Paul have been mowing lawns to earn extra money. Their jobs earn $65 per week. Ken worked for x weeks and earned an extra $18. Paul worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns. ? (5 points)
a
83x + 65y
b
65x − 18 + 65y
c
60x + 83y
d
65x + 18 + 65y
Question 4 (5 points)
(03.02 MC)
Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below:
Music Collection Survey
Name Number of Pop Albums Total Number of Albums in the collection
Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59
Based on the survey, which friend had the greatest percentage of pop albums? (5 points)
a
Michelle
b
Sasha
c
Kat
d
Monica
Question 5 (5 points)
(03.02 MC)
Lynne was wondering which game was more popular so she aksed her friend which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us? (5 points)
a
30
b
20
c
44.45
d
5
Question 6 (5 points)
(03.02 MC)
Hulk, Iron Man, Thor, and Captain America together clean out evil from 60 cities. Hulk cleaned up 0.25 of the cities, Iron Man cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Captain America cleaned up the the remaining cities. Who cleaned up the most cities? (5 points)
a
Hulk
b
Iron Man
c
Thor
d
Captain America
Question 7 (5 points)
(03.04 MC)
Solve for x: (5 points)
a
12
b
−12
c
-35
d
35
Question 8 (5 points)
(03.04 MC)
Clark Kent needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)
a
x ≥ 5
b
x ≤ 11
c
x ≤ 5
d
x ≥ 11
Question 9 (5 points)
(03.04 LC)
Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)
a
x + (x + 5) = 32
b
x − (x + 5) = 32
c
x(x + 5) = 32
d
x(x − 5) = 32
Question 10 (5 points)
(03.05 MC)
SpongeBob needs $44 to buy a new pair of rectangle pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that SpongeBob will have to work as a cook to earn enough to buy the rectangle pants? (5 points)
a
9 + 7n ≤ 44, so n ≤ 5
b
9 + 7n ≥ 44, so n ≥ 5
c
7n ≥ 44 + 9, so n ≥ 7.8
d
7n ≤ 44 + 9, so n ≤ 7.8
Question 11 (5 points)
(03.05 MC)
Jesse sells clothes in the Yee Haw! Western Clothing store and earns $40 per day. She earns an extra $5 for each lasso she sells. If Jesse wants to earn at least $70 per day, which inequality shows the minimum number of lasso, n, that she would need to sell? (5 points)
a
40 + 5n ≤ 70, so n ≤ 6
b
40 + 5n ≥ 70, so n ≥ 25
c
40 + 5n ≤ 70, so n ≤ 25
d
40 + 5n ≥ 70, so n ≥ 6
Question 12 (5 points)
(03.05 MC)
Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)
a
9.96p − 10.01p ≤ 50, so p ≤ 1
b
9.96p + 10.01p ≤ 50, so p ≤ 2
c
9.96 − 10.01p ≤ 50, so p ≤ 3
d
9.96 + 10.01p ≤ 50, so p ≤ 4
I NEED HELP (ASAP)
Answers
Answer:
1. [tex]Expression: 3(5a + 2)[/tex]
2. [tex]Total\ charges = 6.25(s+g)[/tex]
3. [tex]Total = 65x + 18 + 65y[/tex]
4. Michelle
5. 20 friends
6. Thor
8. [tex]x\leq 5[/tex]
9. [tex]x + x + 5 = 32[/tex]
10. [tex]7n + 9 \leq 44[/tex] so: [tex]n \leq 5[/tex]
11. [tex]40 + 5n \leq 70[/tex] So: [tex]n \leq 6[/tex]
12. [tex]10.01 p + 9.96 \leq 50[/tex] so [tex]p \leq 4[/tex]
Step-by-step explanation:
1. Given
[tex]Expression: 15a + 6[/tex]
Required
Determine the equivalent expression
[tex]Expression: 15a + 6[/tex]
Expand:
[tex]Expression: 3 * 5a + 3 * 2[/tex]
Factorize:
[tex]Expression: 3(5a + 2)[/tex]
Hence, the equivalent expression of the given expression is [tex]3(5a + 2)[/tex]
2.
Given
[tex]Charges = \$6.25[/tex]
s = seventh grade students
g = eight grade students
Required
Determine the total charges
First, we need to calculate the total number of charges:
[tex]Total=s+g[/tex]
[tex]Total\ charges = Charges * Total[/tex]
[tex]Total\ charges = 6.25(s+g)[/tex]
3. Given
Ken
[tex]Duration = x\ weeks[/tex]
[tex]Extra\ Earnings = \$18[/tex]
[tex]Weekly\ Earnings = \$65[/tex]
Paul
[tex]Weekly\ Earnings = \$65[/tex]
[tex]Duration = y\ weeks[/tex]
Ken's total charges is:
[tex]Weekly\ Earnings * Duration + Extra\ Earnings[/tex]
[tex]65 * x + 18[/tex]
[tex]65x + 18[/tex]
Paul's total charges is:
[tex]Weekly\ Earnings * Duration[/tex]
[tex]65 * y[/tex]
[tex]65 y[/tex]
[tex]Total = Ken + Paul[/tex]
[tex]Total = 65x + 18 + 65y[/tex]
4.
To calculate the percentage, we simply divided the number of pop albums by the total number of albums.
For Michelle.
[tex]\%Pop = \frac{33}{60} * 100\%[/tex]
[tex]\%Pop = \frac{3300\%}{60}[/tex]
[tex]\%Pop = 55\%[/tex]
For Sasha
[tex]\%Pop = \frac{36}{78} * 100\%[/tex]
[tex]\%Pop = \frac{3600\%}{78}[/tex]
[tex]\%Pop = 46.2\%[/tex]
For Kat:
[tex]\%Pop = \frac{40}{89} * 100\%[/tex]
[tex]\%Pop = \frac{4000\%}{89}[/tex]
[tex]\%Pop = 44.9\%[/tex]
For Monica:
[tex]\%Pop = \frac{24}{59} * 100\%[/tex]
[tex]\%Pop = \frac{2400\%}{59}[/tex]
[tex]\%Pop = 40.7\%[/tex]
From the calculation above, Michelle has the highest percentage of Pop music
5.
[tex]People = 80[/tex]
[tex]Fortnite = 0.55[/tex]
[tex]Among\ Us = 30\%[/tex]
Required
Determine number of friends that prefer fortnite more than among us
First, we need to calculate the number of people that prefer Fortnite.
[tex]Fortnite = 0.55 * 80[/tex]
[tex]Fortnite = 44[/tex]
Next, we need to calculate the number of people that prefer Among Us.
[tex]Among\ Us = 30\% * 80[/tex]
[tex]Among\ Us = 24[/tex]
The difference is:
[tex]Difference = 44 - 24[/tex]
[tex]Difference = 20[/tex]
Hence, 20 more people preferred Fortnite to Among Us
6.
[tex]Hulk = 0.25[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
Captain America cleaned the rest
[tex]Total = 60[/tex]
Number of cities by each is:
[tex]Hulk = 0.25 * 60[/tex]
[tex]Hulk = 15[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
[tex]Thor = 35\% * 60[/tex]
[tex]Thor = 21[/tex]
[tex]Captain\ America = 60 - 15 -12 - 21[/tex]
[tex]Captain\ America = 12[/tex]
By comparison, Thor cleaned the highest number of cities
7. This question is not clear
[tex]Total = \$70[/tex]
[tex]Glass = \$30[/tex]
[tex]Each\ Cape = \$8[/tex]
Let the number of cape be x.
We have that:
[tex]8 * x + 30 \leq 70[/tex]
[tex]8 x +\leq 70 - 30[/tex]
[tex]8 x +\leq 40[/tex]
[tex]x\leq 5[/tex]
9.
Let the first number be x and the second be y
[tex]x + y = 32[/tex]
[tex]y = x + 5[/tex]
Substitute x + 5 for y in the first equation
[tex]x + x + 5 = 32[/tex]
10.
[tex]Savings = \$9[/tex]
Earnings = $7 per hous
Total = $44
The inequality is:
[tex]7 * n + 9 \leq 44[/tex]
[tex]7n + 9 \leq 44[/tex]
[tex]7n \leq 44 - 9[/tex]
[tex]7n \leq 35[/tex]
[tex]n \leq 5[/tex]
11.
Earnings = $40
Extra = $5 per lasso
Total Earnings = At least $70 daily
The inequality is:
[tex]40 + 5n \leq 70[/tex]
[tex]5n \leq 70 - 40[/tex]
[tex]5n \leq 30[/tex]
[tex]n \leq 6[/tex]
12.
[tex]Each\ Cake = \$0.01[/tex]
[tex]Shipping = \$9.96[/tex] per order
[tex]Available = \$50[/tex] --- maximum
The inequality is:
[tex]10.01 * p + 9.96 \leq 50[/tex]
[tex]10.01 p + 9.96 \leq 50[/tex]
[tex]10.01 p \leq 50 - 9.96[/tex]
[tex]10.01 p \leq 40.04[/tex]
[tex]p \leq 4[/tex]