Question

I Really Truly Need Help ASAP have to have it turned in tonight. (What is the equation for the line?​)

Answer 1

Equation of given line is
`y=-2x+12`

Below is the graph attached.

Explanation:

Given,

The line crosses through two highlighted points (-4,4) and (-2,0).

We are asked to find the equation of given line.

In this case equation of line can be obtained through point-slope form,

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

Where 'm' is the slope,

`(x1,y1) \ is\ (-4,4)`

`(x2,y2) \ is\ (-2,0)`

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

Substituting the above points in this slope formula.

We get,

`m=(0-4)/(-2-(-4))`

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

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

`m=-2`

Now plugging
`m=-2` and
`(x1,y1)=(-4,4)` in point-slope form,

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

`y-4=-2[x-(-4)]`

`y-4=-2[x+4]`

`y-4=-2x+8`

`y=-2x+12`

Therefore
`y=-2x+12` is the equation of given line.