Question

What is the equation of the line in slope-intercept form? 12 points plz help!!!

Answer 1

Answer:  $y=-2x-4$

Step-by-step explanation:

The slope-intercept form of the line is:

$y=mx+b$

Where m is the slope and b the intersection with the y-axis.

You can see in the graph that line intersect the y-axis at $y=-4$, then:

$b=-4$

Choose two points and substitute them into the formula for calculate the slope. This is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's pick the points (-4,4) and (-6,8). The the slope is:

$m=\frac{4-8}{-4-(-6)}=\frac{-4}{2}=-2$

Substituting into the equation, you get:

 $y=-2x-4$