Chapter 4.5, Problem 36SR

To determine

The slope of the straight line which passes through the pair of points $\left(-4,7\right)$ and $\left(3,5\right)$ .

Answer to Problem 36SR

The value of slope is equal to $-\frac{2}{7}$ .

Explanation of Solution

Given information: The given line passes through the points $\left(-4,7\right)$ 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 $\left(-4,7\right)$ and $\left(3,5\right)$ is evaluated as,

  $\begin{array}{c}m=\frac{5-7}{3+4}\mathrm{......}\left(\begin{array}{l}\left(x_1,y_1\right)\to \left(-4,7\right)\\ \left(x_2,y_2\right)\to \left(3,5\right)\end{array}\right)\\ =-\frac{2}{7}\end{array}$