Question

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

Answer 1

`y=-2x`

Explanation:

step 1

Find the slope

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

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

we have

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

substitute the values in the formula

`m=(-10-10)/(5+5)`

`m=(-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`