Chapter 4.5, Problem 40SR

To determine

The slope of the straight line which passes through the pair of points $\left(1,-5\right)$ and $\left(-3,-5\right)$ .

Answer to Problem 40SR

The value of slope is equal to $0$ .

Explanation of Solution

Given information: The given line passes through the points $\left(1,-5\right)$ and $\left(-3,-5\right)$ .

Formula used: The slope $\left(m\right)$ of the line passing through the points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is given as,

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation: The slope $\left(m\right)$ of the line passing through the points $\left(1,-5\right)$ and $\left(-3,-5\right)$ is evaluated as,

  $\begin{array}{c}m=\frac{-5+5}{-3-1}\mathrm{......}\left(\begin{array}{l}\left(x_1,y_1\right)\to \left(1,-5\right)\\ \left(x_2,y_2\right)\to \left(-3,-5\right)\end{array}\right)\\ =-\frac{0}{4}\\ =0\end{array}$