find the slope of the line that passes through all of the points on the table.\nshow your work here\nslope…

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(-3,-12)$ and $(x_2,y_2)=(-2,-3)$.

Step2: Substitute values into formula

$m=\frac{-3-(-12)}{-2 - (-3)}=\frac{-3 + 12}{-2+3}=\frac{9}{1}=9$. We can check with another pair of points, say $(x_1,y_1)=(-2,-3)$ and $(x_2,y_2)=(-1,6)$. Then $m=\frac{6-(-3)}{-1-(-2)}=\frac{6 + 3}{-1 + 2}=\frac{9}{1}=9$.

Answer:

$9$