# How to Find the Equation of a Line

## Finding the Equation of a Line

We can find the equation of a line.

The equation will be a linear equation.

## How to Find the Equation of a Line

Finding the equation of a line is easy.

### Question

What is the equation of the line shown below?

### Step-by-Step:

# 1

Find the y-intercept of the line.

Find where the line crosses the y-axis.

In our example, the y-intercept is **1**.

# 2

Find the slope of the line.

Slope = How far up ÷ How far across

Slope = 4 ÷ 2

Slope = 2

In our example, the slope is **2**.

**Write the linear equation. The slope-intercept form of a linear equation looks like:**

y = **slope** x + **y-intercept**

# 3

Write **y = x** with space before the **x**:

# 4

Write the **y-intercept** from **Step 1** (1) after the **x**.

**Note:** The y-intercept is **+ 1** because it is 1 above the x-axis. It would be **−1** if it was 1 *below* the x-axis.

# 5

Write the **slope** from **Step 2** (2) before the **x**.

### Answer:

The equation of the line is **y = 2x + 1**.