Chapter 8, Problem 13CR

To determine

To find:

The slope of the line that passes through the given points.

Answer to Problem 13CR

The slope of the line passing through the given points would be $0$ .

Explanation of Solution

Given:

Two points on a line:

  $(6,9)\text{and (}-3,9)$ .

Concept used:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1},\text{where,}\\ m=\text{Slope of line,}\\ y_2-y_1=\text{Difference between two }y\text{-coordinates}\\ x_2-x_1=\text{Difference between two }x\text{-coordinates of same }y-\text{coordinates}\end{array}$

Calculation:

Let point $(6,9)=(x_1,y_1)\text{and (}-3,9)=(x_2,y_2)$ . Upon substituting our given coordinates in slope formula, we will get:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{9-9}{-3-6}\\ m=\frac{0}{-9}\\ m=0\end{array}$

Therefore, the slope of the line passing through the given points would be $0$ .