The equation of the slope of a line is given by the formula:
![m=(y2-y1)/(x2-x1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wt3vklmulg2853jxzclws9uvfaplhmpgv7.png)
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:
![m=(y2-y1)/(x2-x1)=(-3-4)/(0-(-4))=(-7)/(4)\rightarrow m=-(7)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/mpd9levmht01hz2p2t3bg16yxg9i8waanv.png)
Therefore, the slope for the line is m = -7/4.