Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-8, 3) and (5, 3).
slope:
(b) find the slope of the line passing through the points (-7, 8) and (-7, 3).
slope:

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.
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Part (a)

Step2: Substitute points (-8,3) & (5,3)

$m=\frac{3-3}{5-(-8)}$

Step3: Calculate numerator and denominator

$m=\frac{0}{13}=0$
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Part (b)

Step2: Substitute points (-7,8) & (-7,3)

$m=\frac{3-8}{-7-(-7)}$

Step3: Calculate numerator and denominator

$m=\frac{-5}{0}$, division by 0 is undefined.

Answer:

(a) slope: $0$
(b) slope: undefined