Chapter 8.6, Problem 3BCYP

To determine

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

Answer to Problem 3BCYP

Slope of the line is $\frac{8}{7}$

Explanation of Solution

Given information: Pair of points are $C\left(1,-5\right),D\left(8,3\right)$

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:

Pair of points are given as follow:

  $C\left(1,-5\right),D\left(8,3\right)$

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,

  $\begin{array}{l}m=\frac{3-\left(-5\right)}{8-1}\\ m=\frac{3+5}{7}\\ m=\frac{8}{7}\end{array}$

Conclusion:

Hence, slope of the line is $\frac{8}{7}$