Question

What is the slope of the graph?

Answer 1

Answer: The slope is $\frac{3}{5}$

Step-by-step explanation:

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

$m=\frac{y_2-y_1}{x_2-x_1}$

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:

$m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}$