Answer: [tex]y=-2x-4[/tex]
Step-by-step explanation:
The slope-intercept form of the line is:
[tex]y=mx+b[/tex]
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 [tex]y=-4[/tex], then:
[tex]b=-4[/tex]
Choose two points and substitute them into the formula for calculate the slope. This is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick the points (-4,4) and (-6,8). The the slope is:
[tex]m=\frac{4-8}{-4-(-6)}=\frac{-4}{2}=-2[/tex]
Substituting into the equation, you get:
[tex]y=-2x-4[/tex]
