Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex] are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]
Thus, the slope is [tex]-\frac{1}{8}[/tex].
