Question

What is the slope of the graph?

Answer 1

Given:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

Slope:

The slope of the given graph can be determined using the formula,

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

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

$m=\frac{10-5}{4-2}$

Simplifying, we get;

$m=\frac{5}{2}$

$m=2.5$

Thus, the slope of the given graph is 2.5