Answer:
B. [tex] -\frac{3}{2} [/tex]
Step-by-step explanation:
Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinate pairs of any two points on the slope/line.
Let's use the following coordinates pairs:
[tex] (-2, 4) = (x_1, y_1) [/tex]
[tex] (0, 1) = (x_2, y_2)
Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:
[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]
[tex] m = \frac{-3}{0 + 2} [/tex]
[tex] m = \frac{-3}{2} [/tex]
[tex] m = -\frac{3}{2} [/tex]
