Chapter B, Problem 4E

To determine

To calculate: To find the slope of the line passing through two points

Answer to Problem 4E

Slope of the line is $\frac{4}{7}$

Explanation of Solution

Given information: Points $P\left(-1,-4\right)$ and $Q\left(6,0\right)$

Formula Used:

Slope of the line passing through points $\left(x,y\right)$ and $\left(x,y\right)$ is given as

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Points are given as follows:

  $P\left(-1,-4\right)$ and $Q\left(6,0\right)$

Slope of the line passing through above points is calculated as

  $\begin{array}{l}m=\frac{0-\left(-4\right)}{6-\left(-1\right)}\\ m=\frac{0+4}{6+1}\\ m=\frac{4}{7}\end{array}$

Conclusion:

Hence, the slope of line is $\frac{4}{7}$