Answer: The slope is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Observe the graph provided in the exercise.
You can notice that these two points are on the line:
[tex](2,3)[/tex] and [tex](7,6)[/tex]
Then you can identify that:
[tex]y_2=3\\y_1=6\\\\x_2=2\\x_1=7[/tex]
Knowing these coordinates, you can substitute values into the formula for calculate the slope.
Then, you get that the slope of the graph is:
[tex]m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}[/tex]
