Chapter SH, Problem 8.6.4EP

To determine

To calculate: To find slope of the line that passes through the pair of point

Answer to Problem 8.6.4EP

Slope of the line is $2$

Explanation of Solution

Given information: Pair of points are $D\left(4,5\right);E\left(-3,-9\right)$

Formula Used:

Slope of 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:

Given points on line are $D\left(4,5\right);E\left(-3,-9\right)$

Slope of the line passing through the point is calculated as

  $m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the value in above formula,

  $\begin{array}{l}m=\frac{-9-5}{-3-4}\\ m=\frac{-14}{-7}\\ m=2\end{array}$

Conclusion:

Hence, slope of the line is $2$