Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

Find the slope of the line joining the points $(2,5)$ and $(-1,3).$

Step-by-Step Solution

Answer

Hence, the slope is $m=\frac{2}{3}.$

Step 1. Given Information

Given that the two points are$(2,5)$ and $(-1,3).$

Step 2. Solution

The slope of the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$m=\frac{y_2-y_1}{x_2-x_1}.$

So, the slope of the line joining the points$(2,5)$ and $(-1,3)$ is: -

$$\begin{gathered} m=\frac{3-5}{-1-2} \\ m=\frac{-2}{-3} \\ m=\frac{2}{3}. \end{gathered}$$

Step 3. Final Answer

Hence, $m=\frac{2}{3}.$