# Intercept Form

How to write and graph a linear equation in intercept form: formula, 2 examples, and their solutions.

## Formula

### Formula

The linear equation in intercept form is

x/a + y/b = 1.

a: x-intercept of the line

b: y-intercept of the line

## Example 1

### Example

### Solution

The x-intercept is -3.

And the y-intercept is 2.

Then the linear equation in intercept form is

x/(-3) + y/2 = 1.

Change the linear equation to slope-intercept form.

Move x/(-3) to the right side.

Then y/2 = x/3 + 1.

Multiply 2 to both sides.

Then y = (2/3)x + 2.

So y = (2/3)x + 2 is the answer.

### Graph

This is the graph of the linear equation

x/(-3) + y/2 = 1.

The x-intercept is -3.

And the y-intercept is 2.

## Example 2

### Example

### Solution

To see the y-intercept clearly,

change -y/4 to +y/(-4).

Then x/5 + y/(-4) = 1.

This is in intercept form.

The x-intercept is 5.

And the y-intercept is -4.

See x/5 + y/(-4) = 1.

The x-intercept is 5.

So point the x-intercept 5

on the coordinate plane.

The y-intercept is -4.

So point the y-intercept -4

on the coordinate plane.

Draw a line that passes through

the x-intercept and the y-intercept.

This is the graph of the linear equation

x/5 + y/(-4) = 1.