Question

Determine the equation of the line that passed through the given points. (-5,10) and (5,-10)

Answer 1

Answer:

$y=-2x$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-5,10) and (5,-10)

substitute the values in the formula

$m=\frac{-10-10}{5+5}$

$m=\frac{-20}{10}$

$m=-2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-2$

$point\ (5,-10)$

substitute

$y+10=-2(x-5)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

apply distributive property right side

$y+10=-2x+10$

$y=-2x$