Question

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

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

Short answer

Slope of the line is$\frac{7}{3}$.

Step-by-step solution

Step 1. Given information

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

Step 2. Finding the slope

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

By using slope formula, we have

$\begin{array}{rcl}m& =& \frac{y_2-y_1}{x_2-x_1}\\ & =& \frac{5-\left(-2\right)}{2-\left(-1\right)}\\ & =& \frac{7}{3}\end{array}$

Therefore slope of the line is$\frac{7}{3}$.