Question

What is the equation of the line in slope-intercept form?

12 points plz help!!!

Answer 1

Answer:
`y=-2x-4`

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=(y_2-y_1)/(x_2-x_1)`

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

`m=(4-8)/(-4-(-6))=(-4)/(2)=-2`

Substituting into the equation, you get:

`y=-2x-4`