Question

Calculate the slope of the line on the graph

Answer 1

3.5 (meters per second)

Explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

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

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

`m=(20-2.5)/(5-0)`

Simplify:

`m=(17.5)/(5)\\ m=3.5`

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

`m=3.5s+2.5`