Question

What is the equation for points (-2,-4) and (4,-1) ?

Answer 1

`y=(1)/(2)x-3`

Explanation:

The question is

Find the equation of the line for points (-2,-4) and (4,-1)

step 1

Find the slope

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

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

we have

(-2,-4) and (4,-1)

substitute

`m=(-1+4)/(4+2)`

`m=(3)/(6)`

`m=(1)/(2)`

step 2

Find the equation if the line in point slope form

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

we have

`m=(1)/(2)`

`point\ (4,-1)`

substitute

`y+1=(1)/(2)(x-4)`

step 3

Convert to slope intercept form

`y=mx+b`

we have

`y+1=(1)/(2)(x-4)`

isolate the variable y

`y+1=(1)/(2)x-2`

`y=(1)/(2)x-2-1`

`y=(1)/(2)x-3`