ANSWER:
[tex]y=-\frac{1}{6}x+2[/tex]
STEP-BY-STEP EXPLANATION:
The equation in slope and intercept form is as follows
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]
And the formula to calculate the slope is the following
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (-12, 4) and (12, 0), replacing:
[tex]m=\frac{0-4}{12-(-12)}=\frac{-4}{12+12}=-\frac{4}{24}=-\frac{1}{6}[/tex]
Graphically we can see that b is equal to 2, since it is where the y-axis intercepts.
Therefore, the equation is:
[tex]y=-\frac{1}{6}x+2[/tex]
