## 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.

In our example, the slope is

Slope = How far up ÷ How far across

Slope = 4 ÷ 2

Slope = 2

**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**.

## Slope-Intercept Form of the Equation of a Line

The*slope-intercept*form of an equation of a line is shown below:

**m**is the slope of the line.**c**is the y-intercept of the line.

**m**and

**c**with the slope and y-intercept of the line.

## You might also like...

linear equationsfinding the y-intercept from a linear equationunderstanding linear equations in slope-point formfinding the slope from a linear equation in slope-point form

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