Chapter SH, Problem 2.9EP

To determine

To find:the slope of the line passing through the given points.

Answer to Problem 2.9EP

  $m=10$ .

Explanation of Solution

Given:

The given points are $\left(-1,8\right),\left(3,-12\right)$ .

Calculation:

The given points are $\left(-1,8\right),\left(3,-12\right)$ .

From the given points,

  $\begin{array}{l}{x}_1=-1,y_1=8\\ x_2=3,y_2=-12\end{array}$

As it is known that the slope of the line passing through the points is $m=\frac{y_2-y_1}{x_2-x_1}$ . Therefore,

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\left\{\text{slope of the line}\right\}\\ m=\frac{-12-8}{-3-\left(-1\right)}\left\{\text{substitute these value}\right\}\\ m=\frac{-20}{-3+1}\left\{\text{simplify}\right\}\\ \therefore m=\frac{-20}{-2}\{\text{divide }-2\text{ on each side}\}\\ \Rightarrow m=10\end{array}$

Hence, the slope of the line passing through the given points is $m=10$ .