The slope of the line = -4/7
Explanation:
we apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]the points (-5,7) and (2,3) = (x1, y1) and (x2, y2):
[tex]\begin{gathered} m\text{ =}\frac{3-7}{2\text{ - (-5)}}\text{ = }\frac{-4}{2+5} \\ m\text{ = -4/7} \end{gathered}[/tex]The slope = m = -4/7