# How to Find the Slope of a Line

## Finding the Slope of a Line

The slope is a measure of how steep the line is.

Imagine a line is drawn on a graph. We can find the slope of the line.

## How to Find the Slope of a Line

Finding the slope of a line is easy.

### Question

Find the slope of the line shown below. # 1

Find out how many units the line has gone up. In our example, the line goes up by 4 units. # 2

Find out how many units the line has gone across. In our example, the line goes across by 2 units. # 3

Divide the answer from Step 1 (4) by the answer from Step 2 (2).

Slope = How far up ÷ How far across

Slope = 4 ÷ 2

Slope = 2

The slope of the line is 2.

## A Formula to Find the Slope of a Line

The formula to find the slope is shown below: Let's apply the formula to the example above.

# 1

Find the change in y.

Subtract the y-coordinates of the start and end of the line (or two convenient points on it.) Change in y = 5 − 1 = 4

The change in y is 4.

# 2

Find the change in x.

Subtract the x-coordinates of the start and end of the line (or two convenient points on it.) Change in x = 2 − 0 = 2

The change in x is 2.

# 3

Divide the change in y (4) by the change in x (2).

Slope = Change in y ÷ Change in x

Slope = 4 ÷ 2

Slope = 2