#### Answer

$m=2$

#### Work Step by Step

To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{{y_{2}}-{y_{1}}}{{x_{2}-x_{1}}}$
Calculate the slope between each pair of points to find out if the slope is constant.
The first pair of points is: $(0,7)$ and $(2,11)$
Substitute: $m=\frac{11-7}{2-0}=2$
The second pair of points is: $(2,11)$ and $(4,15)$
Substitute: $m=\frac{15-11}{4-2}=2$
The third pair of points is: $(4,15)$ and $(6,19)$
Substitute: $m=\frac{19-15}{6-4}=2$
The slope is constant between each pair of points, so the slope of the line that passes through these points is 2.