Chapter 8.3, Problem 5WE

To determine

To calculate: The slope of the line passing through the points,

  $\left(-5,3\right),\left(6,5\right)$

Answer to Problem 5WE

The slope of the line is: $m=\frac{2}{11}$ .

Explanation of Solution

Given information:

The points of the lines:

  $\left(-5,3\right),\left(6,5\right)$

Formula used:

For finding the slope of the line:

  $m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation:

Consider the points,

  $\left(-5,3\right),\left(6,5\right)$

For finding the slope of line,

Apply the formula:

  $m=\frac{y_2-y_1}{x_2-x_1}$

Now finding the values of $x_1,x_2,y_1,y_2$ from the points $\left(-5,3\right),\left(6,5\right)$ .

The values are:

  $\begin{array}{l}{x}_1=-5,y_1=3\\ x_2=6,y_2=5\end{array}$

Apply the values in the formula now:

  $\begin{array}{c}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{5-3}{6+5}\\ m=\frac{2}{11}\end{array}$

Thus, the slope of the line is $m=\frac{2}{11}$ .