Chapter 8.3, Problem 9WE

To determine

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

  $\left(4,8\right),\left(1,3\right)$

Answer to Problem 9WE

The slope of the line is: $m=\frac{5}{3}$ .

Explanation of Solution

Given information:

The points of the lines:

  $\left(4,8\right),\left(1,3\right)$

Formula used:

For finding the slope of the line:

  $m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation:

Consider the points,

  $\left(6,3\right),\left(2,0\right)$

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 $\left(4,8\right),\left(1,3\right)$ .

The values are:

  $\begin{array}{l}{x}_1=4,y_1=8\\ x_2=1,y_2=3\end{array}$

Apply the values in the formula now:

  $\begin{array}{c}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{3-8}{1-4}\\ m=\frac{-5}{-3}\\ m=\frac{5}{3}\end{array}$

Thus, the slope of the line is $m=\frac{5}{3}$ .