Answer:
[tex] slope (m) = -\frac{3}{2} [/tex]
Step-by-step explanation:
We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.
This, let's use the coordinate pairs at:
x = -4, y = 2 (-4, 2) => (x2, y2)
x = 0, y = -4 (0, -4) => (x1, y1)
[tex] slope (m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] slope (m) = \frac{2 -(-4)}{-4 - 0} [/tex]
[tex] slope (m) = \frac{2 + 4}{-4 - 0} [/tex]
[tex] slope (m) = \frac{6}{-4} [/tex]
[tex] slope (m) = \frac{3}{-2} [/tex]
[tex] slope (m) = -\frac{3}{2} [/tex]