Question

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

Answer 1

Answer:

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

Below is the graph attached.

Step-by-step 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,

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

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

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

Substituting the above points in this slope formula.

We get,

$m=\frac{0-4}{-2-(-4)}$

$m=\frac{-4}{-2+4}$

$m=\frac{-4}{2}$

$m=-2$

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.