When the line segement is dilated , the resulting line is parallel to the original line. Know that the the slopes of parallel lines are equal. Therefore, the slope of the line passing through (-2,10) and (7,4) is equal to the slope of the new line .
Basically, we will just have to compute for the slope using the points (-2,10) and (7,4).
[tex]\begin{gathered} \text{slope, m = }\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{4-10}{7-(-2)}=\frac{-6}{9}=-\frac{2}{3} \end{gathered}[/tex]
