Question

determine the slope of the line containing the given points. graph the line.
(-7, -6); (8, -6)

find the slope of the line. select the correct choice and, if necessary, fill in the answer box within your choice.

a. m =
(type an integer or a simplified fraction.)
b. the slope is undefined.

use the graphing tool to graph the line. use the given points when drawing the line.
click to enlarge graph

Explanation:

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 coordinates

Given points \((-7, -6)\) and \((8, -6)\), so \( x_1=-7 \), \( y_1 = -6 \), \( x_2 = 8 \), \( y_2=-6 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{-6 - (-6)}{8 - (-7)}=\frac{-6 + 6}{8 + 7}=\frac{0}{15}=0 \).

Answer:

A. \( m = 0 \)