Question

Write an equation of the line that passes through the given points.
​(-1​,5​) and ​(2​,-7​)

Pls i need help for the question

Answer 1

m = (-7-5)/(2+1) = -12/3 = -4
y = -4x + b
use one of the points
5 = -4 (-1) + b
5 = 4 + b
b = 1

y = -4x + 1

Answer 2

The slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's first find slope:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case we have the points (-1, 5) and (2, -7)

$y_{2} =-7\\y_{1} =5\\x_{2} =2\\x_{1} =-1$

^^^Plug these numbers into the formula for slope...

$\frac{-7-5}{2-(-1)}$

$\frac{-12}{3}$

-4

^^^This is your slope

So far you have the equation:

y = -4x + b

Now we must find b

To do that you must plug in a point the line goes through in the x and y of the equation. This is the one I have chosen:

(-1, 5)

5 = -4(-1) + b

5 = 4 + b

1 = b

y = -4x + 1

Hope this helped!

~Just a girl in love with Shawn Mendes