Chapter 5.1, Problem 4P

Find the slope of each line.

To determine

To calculate:slope of a line

Answer to Problem 4P

Slope of a line is equal to 2.

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 $\left(2,5\right)$ and point B is $\left(1,3\right)$

Let $\left(x_1,y_1\right)=\left(2,5\right),\left(x_2,y_2\right)=\left(1,3\right)$

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 shown in the graph $=\frac{y_2-y_1}{x_2-x_1}=\frac{3-5}{1-2}=\frac{-2}{-1}=2$