Chapter 8.5, Problem 42E

To determine

To find:

The slope of the line that passes through the given points.

Answer to Problem 42E

The slope of the linepassing through the given points would be $4$ .

Explanation of Solution

Given:

Two points on a line: $(0,0)\text{and (2,8})$ .

Concept used:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1},\text{where,}\\ m=\text{Slope of line,}\\ y_2-y_1=\text{Difference between two }y\text{-coordinates}\\ x_2-x_1=\text{Difference between two }x\text{-coordinates of same }y-\text{coordinates}\end{array}$

Calculation:

Let point $(0,0)=(x_1,y_1)\text{and (}2,8)=(x_2,y_2)$ . Upon substituting our given coordinates in slope formula, we will get:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{8-0}{2-0}\\ m=\frac{8}{2}\\ m=4\end{array}$

Therefore, the slope of the line passing through the given points would be $4$ .