Mathematics College

There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (4, 1 ) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = x - 3 ← equation of line

Related Questions

write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16

Answers

Answer:

y = -1/2x + 6

Step-by-step explanation:

We know that the slope intercept form of a line is .

Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.

So the slope of the equation will be .

Finding the y-intercept (c):

Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.

Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?​

Answers

Answer:

24?

Step-by-step explanation:

sabihin nyo kung mali -_-

Convert the following fraction to a decimal.

Answers

I think it’s C but I could be wrong but I don’t think I am

Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter

Answers

Answer:

1.5

Step-by-step explanation:

since the lone segment is 15 so add ab and ce and let bc be x

so 2+x+11.5=15

13.5 +x =15

x=1.5

Hi can someone please send me answers?

Answers

Answer:

61 campers will focus on hockey.

Step-by-step explanation:

86+53=139

139-200=61

Freddie can mow 3 lawns in 2 hours. Tom can mow 2 lawns in 1 hour. Who should be able to mow Mr. Smith's lawn faster?​

Answers

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.

Answers

Answer:

-1.5

Step-by-step explanation:

24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.

First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02

24 : 32 = 24/(-16) : -2 = -1.5 : -2

Two polygons have a similarity ratio of 4:5. If the perimeter of the first one is 10 inches, then what is the perimeter of the second?
Group of answer choices

11 inches

8 inches

12.5 inches

15 inches

Answers

Answer: 12.5 Inches

Create a storyline (word problem) for the real-world graph below.

(I can do the story part I just need the numbers)​

Answers

Answer:

Y would equal X on Day 65

Step-by-step explanation:

Im guessing by looking at the chart

Answer:

One line represents something getting heavier over time, while the line pointing down represents something getting lighter over time at a slightly slower rate.

click on the measure of the triangle.

Answers

Answer:

a

Step-by-step explanation:

because a

There is no image!
Try reposting with the image of the question.
:)

A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?

Answers

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.


Four times a number, minus 4, is equal to three times the number, plus 6. Find the number

Answers

Answer:

42

Step-by-step explanation:

Find the value of x ​

Answers

Answer:

i think r would be the same as q

Step-by-step explanation:

I believe it's an isosceles triangle, if there were a line going down the center,  each half should be symmetrical, so q and r are the same angle.

Answer:

32.5

Step-by-step explanation:

A triangle's angles add up to 180 degrees

(2x+15)+x+(x+35)=180

x=32.5

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

89) no 90) yes 91) yes 92) yes 93) yes

Step-by-step explanation:

use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)

Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13

Answers

Answer:

A. sec =12/13×

B. COS =12/13×

C. tan =12/5✓

D. sin =12/13 ✓

Step-by-step explanation:

we know,

using Pythagoras formula,

p=12,h=13 ,b=?

h^2 =p^2 +b^2

b=5

so tan = p/b

=12/5

sin=p/h and cosec= h/p

D. sin =12/13

(Quick Please) 8x - 4 < -36 solve the equality show your work

Answers

Answer is -4

Step-by-step explanation:

8x-4< -36

8x < -36+4 (move [- 4] to the other side to find x)

8x < -32

8x < -4

Answer:

x < -4

Step-by-step explanation:

8x - 4 < -36

+4           +4 (Add 4 on both sides)

8x < -32

/8      /8        (Divide by 8 on both sides)

x < -4

Factorise the following expressions.
a² + 8a + 16​​

Answers

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?

Answers

Answer:

A.

Step-by-step explanation:

factor the given expression. 64x^3-343

Answers

Answer:

( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )

Step-by-step explanation:

Answer:

(4x - 7) (16x^2 + 28x + 49)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2  +  a b  +  b^ 2 )  where  a  =  4 x  and  b  =  7 .

HELPPP PLEASE!! HELPP ASAPP

Answers

Answer:

I would go option a

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.

Solve using substitution,

y = -3
x + 3y = -6
Please help

Answers

Answer:

x=3

Step-by-step explanation:

x+3(-3)=-6

x-9=-6

  +9 +9

x=3

Answer:

x=3 y=-3

Step-by-step explanation:

solve for x then substitute x in the original problem then solve for y

WILL GIVE BRAINLIEST
PLEASE HELP 12 points

Answers

Answer:

D. The function approaches 1 as x approaches -infinity and infinity

Step-by-step explanation:

Step 1: Divide numerator and denominator by [tex]x^2[/tex]:

[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]

Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1

Pls Help! Actually give a legit answer (NO LINKS!)

Answers

Answer:

unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.

Step-by-step explanation:

I hope this helps you!

Answer the question for 20 points!!!!!

Answers

Answer:

4/6

Step-by-step explanation:

ok so you have 2/3 for 1 group. so for 2 groups youll just have to add 2/3 + 2/3 and that gives u 4/6

-9 - 5 this would help me a lot please

Answers

Answer:

-14

Step-by-step explanation:

Think of it like this-

subtracting a negative is like adding a positive, so all you have to do is add a negative sign to the sum after solving these sort of problems :>

Hope this helps!

-14

Explanation: -9-5 = -9+5 since there’s two negative signs. And -14 cause the greater number is negative.

A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.

Answers

Answer:

length of the guy wire: 49.056

Step-by-step explanation:

here are the steps

Answer:

47 FT

Step-by-step explanation:

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

Answer:

A = (0,1)

B = (1,-1)

C = (-1,-1)

Step-by-step explanation:

If this helped leave a brainliest

multiply coordinates by the scale factor = 1/4

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 seconds

Step-by-step explanation:

3 minutes = 180 seconds

180 seconds + 37 seconds = 217 seconds

If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)

Answers

Answer:

3x²+3x-7

Step-by-step explanation:

(f+g)(x)=2x²+x²+3x-7

=3x²+3x-7

Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323

Answers

Answer:

105.876373581

Step-by-step explanation:

8.563 + 4.8292 = 13.3922

13.3922 × 9.183 = 122.9805726

122.9805726 ÷ 1.192 = 103.171621309

103.171621309 ÷ 1.192 = 86.5533735811

86.5533735811 + 19.323 = 105.876373581

Step-by-step explanation:

8.563+4.8292=A

( A*9.183)÷1.192÷1.192=B

B+19.323=C

Other Questions
A: Hina has milk and cereal during her breakfast, which is a heterogeneous mixture.R: In a heterogeneous mixture, the components cannot be seen separately. 10. Find three consecutive even integers such that the product of the first and the second is 92 morethan twice the third integer. the protein that carries oxygen in our blood is known as why was martha parke custis considered one of the most prominent women in virginia? what roles did she play? Which of the following functions is graphed below?. In your own words, explain how the Woodland period was different from the Paleo period! A line passes through the points (-2, 9) and (1, 3).Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Convert 1 = 4 to polar form. Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y. three pounds of bananas cost $1.95. Which of the following is not true? In triangle ABC, if angle A + angle B = 5 angle C, find angle C Help help help help help help please please You went to a carnival. Each ride cost $2.50.Let c represent the cost and n represent thenumber of rides. HELP PLZZ!! ill give brainlist pleaseeee help me Which inequality does the graph represent? Which of these men controlled the steel industry?A Cornelius VanderbiltB. John RockefellerO C. Andrew CarnegieGO D.B Benjamin Harrison Describe how total job benefits and total employee compensation differ If you were an astrobiologist, what would you do to search for life? Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 22 1 2hours.