# 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.

### Step-by-Step:

# 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

### Answer:

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.

### Step-by-Step:

# 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

### Answer:

The slope of the line is **2**.