Question

What is the slope of the graph?

Answer 1

Answer: The slope is
`(3)/(5)`

Explanation:

The slope of a line can be calculated with the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Observe the graph provided in the exercise.

You can notice that these two points are on the line:

`(2,3)` and
`(7,6)`

Then you can identify that:

`y_2=3\\y_1=6\\\\x_2=2\\x_1=7`

Knowing these coordinates, you can substitute values into the formula for calculate the slope.

Then, you get that the slope of the graph is:

`m=(3-6)/(2-7)\\\\m=(-3)/(-5)\\\\m=(3)/(5)`