Chapter 5.1, Problem 6P

Find the slope of each line.

To determine

To calculate: slope of a line

Answer to Problem 6P

Slope of a line is equal to $-1$ .

Explanation of Solution

Given information: Graph of a line is given as follows

Formula used: Slope of a line joining points $\left(x_1,y_1\right),\left(x_2,y_2\right)$ is equal to $\frac{y_2-y_1}{x_2-x_1}$

Calculation:

  

In the graph point A is $\left(0,4\right)$ and point B is $\left(4,0\right)$

Let $\left(x_1,y_1\right)=\left(0,4\right),\left(x_2,y_2\right)=\left(4,0\right)$

Slope of a line joining points $\left(x_1,y_1\right),\left(x_2,y_2\right)$ is equal to $\frac{y_2-y_1}{x_2-x_1}$

So,

Slope of a line AB shown in the graph $=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1$