Question

find the slope, if it exists, of the line containing the pair of points (9, -6) and (-2, -6). select the correct choice below and, if necessary, fill in the answer box to complete your choice. \bigcirc a. the slope of the line is \square. (type an integer or a simplified fraction.) \bigcirc b. the slope is undefined.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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 the coordinates

Here, \( x_1 = 9 \), \( y_1=-6 \), \( x_2=-2 \), and \( y_2 = -6 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-6-(-6)}{-2 - 9} \).
Simplify the numerator: \( -6-(-6)=-6 + 6=0 \).
Simplify the denominator: \( -2-9=-11 \).
So, \( m=\frac{0}{-11}=0 \).

Answer:

A. The slope of the line is \( 0 \).