Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-4, 7) and (-4, 4).
slope:
(b) find the slope of the line passing through the points (-5, -8) and (2, -8).
slope:

Explanation:

Part (a)

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1=-4,y_1 = 7,x_2=-4,y_2 = 4 \).

Step2: Substitute values

Substitute into the formula: \( m=\frac{4 - 7}{-4-(-4)}=\frac{-3}{0} \). Division by zero is undefined, so the slope is undefined.

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1=-5,y_1=-8,x_2 = 2,y_2=-8 \).

Step2: Substitute values

Substitute into the formula: \( m=\frac{-8-(-8)}{2-(-5)}=\frac{0}{7}=0 \).

Answer:

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Part (b)