Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-2, -7) and (7, -7).
slope:
(b) find the slope of the line passing through the points (8, 9) and (8, -1).
slope:

Explanation:

Part (a)

Step1: Recall slope formula

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

Step2: Identify points

Here, \( (x_1, y_1)=(-2, -7) \) and \( (x_2, y_2)=(7, -7) \).

Step3: Substitute into formula

\( m=\frac{-7 - (-7)}{7 - (-2)}=\frac{-7 + 7}{7 + 2}=\frac{0}{9}=0 \).

Step1: Recall slope formula

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

Step2: Identify points

Here, \( (x_1, y_1)=(8, 9) \) and \( (x_2, y_2)=(8, -1) \).

Step3: Substitute into formula

\( m=\frac{-1 - 9}{8 - 8}=\frac{-10}{0} \), which is undefined (since division by zero is not allowed).

Answer:

\( 0 \)

Part (b)