Answer
$m=-7$
Work Step by Step
To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Calculate the slope between each pair of points to find out if the slope is constant.
The first pair of points is: (-2,29) and (0,15)
Substitute: $m=\frac{15-29}{0-(-2)}=-7$
The second pair of points is: (0,15) and (2,1)
Substitute: $m=\frac{1-15}{2-0}=-7$
The third pair of points is: (2,1) and (4,-13)
Substitute: $m=\frac{-13-1}{4-2}=-7$
The slope is constant between each pair of points, so the slope of the line that passes through these points is $-7$
