Question

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

Short answer

Hence, the slope is$m=\frac{2}{3}.$

Step-by-step solution

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 pointslocalid="1645797456022" $(2,5)$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,$m=\frac{2}{3}.$