Question

Calculate the slope of a line with a run of 3 and a rise of 9.

Answer 1

Answer:

$slope = \frac{9}{3} = 3$

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Answer 2

The slope of the line is 3.

Given:

The run and rise of a line are 3 and 9 respectively.

To Find:

The slope of the line.

Solution:

Let us look at the concepts required to solve this problem:

1) The slope is the measure of how steep the given line is.

2) For two coordinates, ($x_1, y_1$) and ($x_2,y_2$), the slope is calculated as the ratio of change in the y-axis to change in the x-axis, i.e.

The slope, m = $\frac{y_2-y_1}{x_2-x_1}$ = Δy/Δx.

3) The change in the y-coordinate is referred to as the rise, and the change in the x-coordinate is referred to as the run.

Hence, we have

Δy= rise = 9 and Δx = run = 3.

Now,

The slope m = Δy/Δx = rise/run.

⇒ m = 9/3 = 3.

Hence, the slope = 3.

∴The slope of the line is 3.

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