Chapter 13.2, Problem 3CE

To determine

To find the slope of the line with given two points on the line $\left(0,2\right)$ and $\left(2,0\right)$ .

Answer to Problem 3CE

The slope of line is $-1$ .

Explanation of Solution

Given:

Below is the figure given

  

Calculation:

Slope of a line when two points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ are given is

  $m=\frac{y_2-y_1}{x_2-x_1}$

Points given are $\left(0,2\right)$ and $\left(2,0\right)$

  $m=\frac{0-2}{\left(2\right)-\left(0\right)}=\frac{-2}{2}=-1$

Therefore the slope of line is $-1$ .