Chapter 13.2, Problem 4WE

To determine

To find the slope of the line through the points $\left(1,2\right);\left(-2,-5\right)$.

Answer to Problem 4WE

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

Explanation of Solution

Given information: The points are $\left(1,2\right);\left(-2,-5\right)$ .

Concept used: The slope, denoted by m, of the nonvertical line through the points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is defined as follows:

  $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation: The slope of the line through the points is obtained as,

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

here,

  $\begin{array}{l}{x}_1=1\\ y_1=2\\ x_2=-2\\ y_2=-5\end{array}$

Therefore, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-2}{-2-1}=\frac{7}{3}$

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