Question

fill in the blanks below.
(a) find the slope of the line passing through the points
(-4, 4) and (9, 4).
slope:
(b) find the slope of the line passing through the points
(-8, 5) and (-8, -8).
slope:

Explanation:

Step1: Recall slope formula

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

Step2: Solve part (a)

Points are $(-5,4)$ and $(9,4)$. Substitute values:
$m=\frac{4-4}{9-(-5)}=\frac{0}{14}=0$

Step3: Solve part (b)

Points are $(-8,3)$ and $(-8,-6)$. Substitute values:
$m=\frac{-6-3}{-8-(-8)}=\frac{-9}{0}$
Division by 0 is undefined.

Answer:

(a) Slope: $0$
(b) Slope: Undefined