Question

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

$\left(4,-5\right),\left(1,-2\right)$.

Short answer

The slope of the line is$-1$.

Step-by-step solution

Step 1. Given information

Given points are$\left(4,-5\right),\left(1,-2\right)$.

. Finding the slope.

Here,

$\left(x_1,y_1\right)=\left(4,-5\right)$and $\left(x_2,y_2\right)=\left(1,-2\right)$.

By using slope formula, we have

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

Therefore slope of the line is$-1$.