Answer
$m=\frac{7}{2}$
Work Step by Step
To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{1}-x_{2}}$
Calculate the slope between each pair of points to find out if the slope is constant.
The first pair of points is: (-4,-18) and (0,-4)
Substitute: $m=\frac{-4-(-18)}{0-(-4)}=\frac{14}{4}=\frac{7}{2}$
The second pair of points is: (0,-4) and (4,10)
Substitute: $m=\frac{10-(-4)}{4-0}=\frac{14}{4}=\frac{7}{2}$
The third pair of points is: (4,10) and (8,24)
Substitute: $m=\frac{24-10}{8-4}=\frac{14}{4}=\frac{7}{2}$
The slope is constant between each pair of points, so the slope of the line that passes through these points is $\frac{7}{2}$
