Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Given:

x1 = -1

x2 = 6

y1 = 2

y2 = 3

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 3 - 2 ) / ( 6 - -1 )

m = 1 / ( 6 + 1 )

m = 1/7

Then,

y - y1 = m ( x - x1 )

y - 2 = 1/7 ( x - -1)

y - 2 = 1/7 ( x + 1 )

y - 2 = 1/7x + 1/7

y = 1/7x + 1/7 + 2

y = 1/7x + 15/7


Related Questions

How i can answer this question

Answers

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=

Answers

Answer:

i think 1/2(6x-10)-x = 2x-5

Need help ppl keep givin me links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4

Answers

x=57

Step-by-step explanation:

x+x+2+x+4=177

3x+6=177

3x=177-6

3x=171

x=57

Therefore the three consecutive numbers are:

57;59;61

2. 52,000 people attended a concert. Main floor tickets cost $25 each and upper-level tickets
were $12 each. A total of $1,144,000 worth of tickets were sold. How many upper level
tickets were sold?

Answers

Answer:

x (upper level) = 12,000 tickets

Step-by-step explanation:

Firstly, let's convert this gibberish text into the information we want. :D

Total amount of people = 52,000

Main floor tickets = $25 each

Total: $1,144,000

Let the amount of people who brought upper level tickets be x and main floor tickets be y. (assumming 1 ticket = 1 person)

Thus, we come up with this simultaneous equation:

[tex]12x + 25y = 1,144,000\\x + y = 52,000[/tex]

The first equation finds the price of the ticket, while the second is the amount of people.

x (upper level) = 12,000

y = 40,000

Hope this helps! :)

plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?

Answers

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aisha’s mistake. Please help.

Answers

Answer:

Step-by-step explanation:

Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length ​

Answers

Answer: c = 6.5I

Step-by-step explanation:

C = the cost of the fabric

I = the length of the fabric

C : I = 13 : 2

C : I = 32.50 : 5

C : I = 6.5

C = 6.5I

Evaluate the expression when B = -4 and C = 6
C-8B

Answers

Start by plugging in the variable. I suggest putting the numbers in parenthesis to make sure you don’t miss any negatives.

(6) -8(-4)

-8*-4 = 32
6+32 = 38

Remember PEMDAA

Please help, I dont know how to get the other angle measurement.

Answers

Answer:

Angle E is 88º

Step-by-step explanation:

If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.

Which equation has a unite rate of 0.5

Answers

Answer:

r=0.5d

Step-by-step explanation:

Which correlation coefficient best matches the graph?

Answers

Answer:

Which graph?

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

umm i dont know how to answer

Solve the following system of equations graphically.
y=3x+4
y=-2x-5

Answers

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

Can someone help please !

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

2

just trust me please

help help help help help help help help

Answers

Answer:

necklace

Step-by-step explanation:

It is the only one with a negative elevation

Write the expanded form of the expression.

3(4x - 6) =

Answers

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

Find and b. A 110 B 40° с D ​

Answers

Answer:

a: 70 degrees, b: 140 degrees

Step-by-step explanation:

Each of the sets of angles must add up to 180 degrees.

180 - 110 = 70

180 - 40 = 140

Answer two questions

Answers

Answer:

3) a = 9

4) v = 16

Step-by-step explanation:

Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.

Problem 3

First, let's distribute the 5 onto both terms in the parentheses.

5(a - 3) = 30

5(a) - 5(3) = 30

5a - 15 = 30

Next, we can add 15 to both sides to isolate a.

5a - 15 = 30

5a = 45

Finally, divide both sides by 5 to find the value of a.

5a = 45

a = 9

Problem 4

First, let's remove 2 from both sides of the equation.

v/2 + 2 = 10

v/2 = 8

Then, we can multiply both sides by 2 to find the value of v.

v/2 = 8

v = 16

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]

[tex]\huge\text{NUMBER 2}[/tex]

[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).

Answers

The solution to the system of equations is (2,0)

The equation is given as:

[tex]y = 0.5x - 1[/tex]

The other equation passes through the points (3,1) and (-5,-7).

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-7 - 1}{-5 -3}[/tex]

[tex]m = \frac{-8}{-8}[/tex]

[tex]m =1[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 1(x -3) + 1[/tex]

[tex]y = x -3 + 1[/tex]

[tex]y = x -2[/tex]

Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]

[tex]x- 2 =0.5x - 1[/tex]

Collect like terms

[tex]x-0.5x= 2 - 1[/tex]

[tex]0.5x= 1[/tex]

Divide both sides by 0.5

[tex]x= 2[/tex]

Substitute 2 for x in [tex]y = 0.5x - 1[/tex]

So, we have:

[tex]y = 0.5\times 2 - 1[/tex]

[tex]y = 1 - 1[/tex]

[tex]y = 0[/tex]

So, we have:

[tex](x,y) =(2,0)[/tex]

Hence, the solution to the system of equations is (2,0)

Read more about systems of equations at:

https://brainly.com/question/14323743

Headlights must be used from:

-Sunset to sunrise.

Answers

Answer:

Step-by-step explanation:

ok

Combine the like terms to create an equivalent expression.
large 9p+3p

Answers

Answer:

12p

Step-by-step explanation:

9p+3p=12p

BRAINLIEST FIRST CORRECT ANSWER!

The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55

A.) 51


B.) 24


C.) 23

Answers

Answer:

23 is the answer of this question

Step-by-step explanation:

bye

Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3

explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.

20.2 miles > 17.6 miles

//also don't send scam links​

Answers

The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2  miles is greater than 17.6 miles"

In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.

So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"

Learn more about inequality at:

https://brainly.com/question/11713066

pls pls pls pls help

Answers

I think the answer is 2

How do I solve this? ​

Answers

C) 18 minutes
This is because each sparkler takes 2 minutes to burn so 10 * 120 = 1200 seconds, then 120 / 0.10 = 12 (which is the 10th of the 2 minutes) now we do 12 * 10 = 120 to get the cut time from lighting a match after a tenth remained. now since we have that we do 1200 - 120 and get 1080 seconds and that is the total time n seconds of the burning matches, now we convert it to minutes by doing 1080 / 60 and get 18.
hope this is helpful!

Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)

Answers

Answer:

45

Step-by-step explanation:

The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.

Please mark brainliest I really need it

Answer:

43 I think that is the Answer

Answer:

2(x + 3) + 4(9x + 8) = ?

Answers

Answer:

38x + 38

Step-by-step explanation:


The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

y = 5x is the reference line (as best as I can interpret " y = 5* - .").

We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.

Parallel lines will have the same slope as the reference line, in this case m=5.  Our new line will take the form of y=5x+b.  An important difference is that the new line must go through (2,6).  We need to find a value of b that will make that work.

Use y=5x + b with point (2,6) and solve for b:

6 = 5*(2) + b

b = -4

The line that is parallel to y=5x and goes through the point (2,6) is thus:

y = 5x - 4

See the attachment.

The equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

What is the general equation of a straight line?

The general equation of a straight line is of the form -

y = mx + b

where -

[m] is slope of line

[b] is y - intercept

Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).

The equation of line [d] in the slope intercept form can be derived as follows -

Slope of line [c] = Slope of line [d]  (parallel lines)

m[d] = 5

Assume the equation of line [d] as -

y = m[d]x + b

6 = 5 x 2 + b

b = 6 - 10

b = - 4

The equation will be -

y = 5x - 4

Therefore, the equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/22038782

#SPJ1

carl ordered a refrigerator that weigh 192 pounds

Answers

Answer: good for him... how much did he spend on it?

Why were people concerned with the East India Tea's Company monopoly over the

tea industry?

Answers

Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

Other Questions
Which algebraic expression represents thefollowing situation: Six fewer seashells thanthe total number of seashells in p packages,each of which has five seashells?Is it c Lower prices on manufactured goods meant that:O A. tariff rates were decreasing.B. wages for workers generally decreased.C. fewer people were interested in consumerism.D. more people could afford to buy them. how long does it take for a styrofoam cup to decompose Tumblr, Jaiku is an example of _____________ website.a) Microbloggingb) Bloggingc) Social Networkingd) None of the Above what equation has infinite solutions4(x+2) = 9 4(x+2) = 4x + 8 4(x+2) = 4x + 24(x+2) = 12 Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of theribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy? After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second Completa las oraciones con el pretrito del verbo que corresponda segn el contexto VERBOS: creer, apurar, llegar, caminar, ganar, visitarTEN CUIDADO CON LAS FORMAS QUE LLEGAN ACENTO (TILDE).1. El equipo local ______el campeonato nacional.2. Julin y Nstor _______el paso para llegar a tiempo.3. Florencia y yo _______hacia el centro de la ciudad y ______.varias tiendas4. Cundo _______t de Roma?5. Yo no ________nada de lo que ellos dijeron. Jemma purchased six scratch-off lottery tickets and won $25 on the fifth ticket. Which kind of reinforcement schedule does this exemplify? Continuous reinforcement Fixed-ratio reinforcement Variable-ratio reinforcement Fixed-interval reinforcement Variable-interval reinforcement How would you describe the common tone of these two quotes: None can gather eternity/Into its heart and bid it stay/Swiftly again it slips away Regrettably, Slocum set sail one last time, in 1909, only to disappear into oblivion forever, lost at sea. What is the 18th term to the sequence 14,18,22 Jalen earns $33 for babysitting 4 hours.After how many hours of babysitting will Jalen have made over $500? Reduce the fraction and find the domain:(c+2)^2 divided by 7c^2+14c Using the figure shown, if I= 1.17 A, then (I , I) A is:a- (3.17 , 2.00)b- (1.33 , 0.17)c- (1.67 , 0.50)d- (1.27 , 0.10) Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situationThey will be at the same altitude in _ minutes, when their altitude will be _ feet. A story that analyzes game statistics for several teams in an example of? A. A straight-news feature story B. A sports feature story C. A straight-news sports story D. A sports opinion story The ratio between the force of friction and the normal force is called:A.the dragB.rolling frictionC.the coefficient of frictionD.the starting friction How do we know that the ocean is continually absorbing carbon from the atmosphere, helping with climate stability?O Increased carbon in the oceans have made them more acidic.O Ocean pH has increased significantly in the last decade.O There are bubbles like carbonation on the ocean surface.O Fish we catch and eat from the ocean are made of carbon. NO LINKS!!!Help please ;-;And please answer all 1, 2, 3, 4 questions!Choose the inequality that describes the following____ 1. The set of numbers {3, 2, 1, 0, 1, ...} A. x > 4B. x < 4C. x 4D. x 4 ____ 2. The set of numbers {9, 8, 7, } A. x > 9B. x < 9C. x 9D. x 9 ____ 3. The set of numbers {0, -2, -4, -6, -8, ...}A. x > 0B. x < 0C. x 0D. x 0 ____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}A. x > 6B. x < 6C. x 6D. x 6 (HELP FAST) How can a state law such as the parent rights law in Florida, affect other levels of government?