The Solution:
Given the graph in the picture on the Question section.
We are required to show how to find the slope of a line and interpret it.
Step 1:
The formula for finding the slope of the line is:
[tex]\text{ slope=}\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 2:
Pick two coordinates on the line.
[tex](2,-3)\text{ and (3,-2)}[/tex][tex]\begin{gathered} (x_1=2,y_1=-3) \\ (x_2=3,y_2=-2) \end{gathered}[/tex]
Step 3:
Substituting the above values in the formula for slope, we get
[tex]\text{ slope=}\frac{-2--3}{3-2}=\frac{-2+3}{3-2}=\frac{1}{1}=1[/tex]
The slope is a positive slope, which means that when the value of x is increasing then the value of y is increasing. Also, for every unit change in the value of y, there is a corresponding unit change in the value of x.
Therefore, the slope is 1.
