Question

Use the slope formula to find the slope of the line between each pair of points.

$\left(-2,-1\right),\left(6,5\right)$.

Short answer

The slope of the line is$\frac{3}{4}$.

Step-by-step solution

Step 1. Given information

Given points are$\left(-2,-1\right),\left(6,5\right)$.

. Finding the slope

Here $\left(x_1,y_1\right)=\left(-2,-1\right)$and $\left(x_2,y_2\right)=\left(6,5\right)$.

By using slope formula, we have

$\begin{array}{rcl}m& =& \frac{y_2-y_1}{x_2-x_1}\\ & =& \frac{5-\left(-1\right)}{6-\left(-2\right)}\\ & =& \frac{6}{8}\\ & =& \frac{3}{4}\end{array}$

Therefore slope of the line is$\frac{3}{4}$.