Answer :
In order to calculate the slope between two points (x1, y1) and (x2, y2), we can use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Then, using the points (-5, 7) and (2, 3), we have:
[tex]m=\frac{3-7}{2-(-5)}=-\frac{4}{7}[/tex]So the slope of the line is m = -4/7.