The equation of the slope of a line is given by the formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]The coordinates (x1, y1) and (x2, y2) are the coordinates that we need to identify in the graph:
(x1, y1) = (-4, 4)
(x2, y2) = (0, -3)
Then, applying the formula to find m:
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-3-4}{0-(-4)}=\frac{-7}{4}\rightarrow m=-\frac{7}{4}[/tex]Therefore, the slope for the line is m = -7/4.
