write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer 1

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer 2

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

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

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~


Related Questions

Help please? I’ll give you 5 stars!

Answers

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

Can someone help me plsssssssssssss

Answers

Answer:

The lines will cross at (-5,1)

Step-by-step explanation:

I graphed it

why you copy my profile picture hello.....

h(8) = -2(8)^2 + 4(8)- 7

Answers

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Ryan equation for the perimeter

Answers

2x+16+20=60

2x+ 36=60

2x=60-36

2x=24

X= 24/2

X= 12

help please?????????​

Answers

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes

Please help me on this it’s due tomorrow:(((

Answers

Answer:

Bro

Step-by-step explanation:

sorry

I cannot do each one. But I can go over how to do them. An explanation is more valuable than an answer

Think of slope as rise over run. How much does the line go up, every time it goes over. Simply find two points that are nice and even on the graph. Then count how much it goes up between these two point, and how much it goes over. Then write as rise over run. If the graph goes up to the right, then it’s positive. If it goes down to the right, then it’s negative

Y intercept is where the graph crosses the y axis. The intercept will be (0, y). It’s just the crossing point

I don’t know what the hell real world interpretation means. U will never use that again :)

For the equation, just put the last two things I went over together. I remember by saying y = move x plus begin. This stands for y=Mx+b
The move is the slope. Put in the fractional slope, which will be either positive or negative. Then write x. Then do the y intercept. Which is how far up or down on the y axis it starts.
For example. The equation for the first one is y=3x+6. It rises 6 for every time it goes over 12, which is simplified to 3/1. And it starts at y=6

Hope that helps. Sorry I won’t do each one

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.

(Hint: 58 is what percentage of 100?)

Answers

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

Find the slope of the line that passes through the pair of points (-17, – 8) and (0, – 5)

Answers

Answer:

-13/-17

Step-by-step explanation:

y1-y2/x1-x2=-13/-17

Used slope formula y2-y1/x2-x1
-5--8/0--17 =3/17

create an equivalent ratio to 20:24 by dividing both sides by 4

Answers

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

y=−2x+7
y=5x−7

x=
y=

Answers

Answer:

x = 2

y = 3

Explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/4x

Step-by-step explanation:

To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.

So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.

Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)

Answer:

Step-by-step explanation:

y = 15

x = 12

The y intercept is zero so the slope is simply

m = y /x

m = 15/12

m = 5/4

The equation is

y = 5/4

2

Given the Data Points : (9, 72) (4, 32) (7, 56) What is the constant of variation?

Answers

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

Find out more about constant of variation at: https://brainly.com/question/25215474

There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?

Answers

The number of hardback books that are on the bookshelf is 29 books.

Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.

Given the following data:

Total number of books = 36 books

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

[tex]T = H+P[/tex]

The number of hardback books is 15 more than twice the number of paperback books:

[tex]H =2P+15[/tex]

Substituting the given parameters into the formula, we have;

[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]

P = 7 books

For number of hardback books:

[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]

H = 29 books

Read more on word problem here: https://brainly.com/question/24604067

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

All you need is on the photo


Please don't answer randomly if you answer randomly you are gonna lose points

Answers

Answer:

no since the ratios of the corresponding sides are not proportional


1. Edna bought an RTW dress for Php575.00 at 20% discount. What was
the original price?

Answers

Answer:

i think original price Php656.25

Step-by-step explanation:

original price Php x

80%x = 575

x = 575×100/80

x = 656.25

original price Php656.25

PLZ HELP!!!!!!!!

Function 1 is defined by the equation y=-1/4r-5 Function 2 is defined by line p.shown on the following graph. Which function has a more negative slope?​
A. Function 1
B. Function 2
C. The functions have the same slope.

Answers

Answer:

Function 1

Step-by-step explanation:

I got it correct on khan academy

The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.

Let the two coordinate on the line p of the function 2 on the graph.

( x₁ , y₁ ) = (-4, -6)

(x₂ , y₂ ) = ( 4 ,-8 )

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Slope of line p = ( -8 + 6 ) / ( 4 + 4 )

                         = -2/8

                        = -1/4

Slope of the function 1

y = -(1/4)r -5

When r = 8 ⇒ y = -7

r = -8 ⇒ y = -3

( x₁ , y₁ ) = (8, -7)

(x₂ , y₂ ) = ( -8 ,-3 )

Slope of the function 1  = ( -3 + 7 ) / ( -8  - 8 )

                         = 4/ -16

                        = -1/4

Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.

Learn more about slope here

brainly.com/question/3605446

#SPJ2

rút gọn (x-4) (x-3) -x(x+5) +82

Answers

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?

1 ft, 3 ft, 9 ft

3 ft, 3 ft, 7 ft

2 ft, 3 ft, 8 ft

2 ft, 5 ft, 6 ft

Answers

Answer:

2 5 and 6

Step-by-step explanation:

Any 2 sides have to add to more than the 3rd side.

Help me with this


-22*3 +12*2 -6*2 +4+2​

Answers

The answers is -48 if you need me to show my work or explain it to you just ask

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Find the value of x in the solution of the system y = -4x + 48

Answers

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Select all of the following that are ordered pairs of the given function.



ƒ(x) = 3 - 2x

(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?

Answers

The answer for this is negative 4

PLEASE HELP QUESTION IN PICTURE
D and F are correct

Answers

Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line

Answers

The answer is Vertical line

Which equation represents the line that passes through the points (0, 3) and (2,6)

A y = -3/2x + 3

B y = 2/3x + 3

C y = 3/2x + 3

D y = 3/2x

Answers

Answer:

C) y=3/2x+3

Step-by-step explanation:

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

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

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

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

solve 2y - 18 = -26 for y

Answers

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Please solve this...I can;t do it do it

Answers

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

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