Answer:
slope = [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]m[/tex] represents the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (-3, 4) and (0, 0) into the formula appropriately and solve:
[tex]m= \frac{(0)-(4)}{(0)-(-3)} \\m = \frac{0-4}{0+3} \\m = \frac{-4}{3}[/tex]
Thus, the slope is [tex]-\frac{4}{3}[/tex].
