Chapter 3.1, Problem 2AYU

To determine

The slope of the joining the points $\left(2,5\right)$ and $\left(-1,3\right)$ .

Answer to Problem 2AYU

The slope of the joining the points $\left(2,5\right)$ and $\left(-1,3\right)$ is $\frac{2}{3}$ .

Explanation of Solution

Given:

Points $\left(2,5\right)$ and $\left(-1,3\right)$ .

Concept Used:

Slope Formula:

  $m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation:

Given points are $\left(2,5\right)$ and $\left(-1,3\right)$ .

By using slope formula $m=\frac{3-5}{-1-2}=\frac{-2}{-3}=\frac{2}{3}$

Conclusion:

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