To find the slope of a line passing through the points (-3, 4) and (2, -1), we have to follow the next steps:
1. Use the following equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]2. Label each of the given coordinates:
(-3, 4) ---> x1 = -3, y1 = 4.
(2, -1) ---> x2 = 2, y2 = -1.
3. Put these values in the previous equation:
[tex]m=\frac{-1-4}{2-(-3)}\Rightarrow m=\frac{-5}{2+3}=\frac{-5}{5}\Rightarrow m=-1[/tex]Then, the slope is m = - 1 ( Option A).
