Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-8, 3) and (7, 3).
slope:
(b) find the slope of the line passing through the points (-6, 4) and (-6, 1).
slope:

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Calculate slope for (a)

Points $(-8,2)$ and $(0,3)$: $m = \frac{3-2}{0 - (-8)} = \frac{1}{8}$

Step3: Calculate slope for (b)

Points $(-5,4)$ and $(-5,1)$: $m = \frac{1-4}{-5 - (-5)} = \frac{-3}{0}$ (undefined)

Answer:

(a) $\frac{1}{8}$
(b) undefined