# How do you graph #4x - 3y = 6# by plotting points?

##### 2 Answers

By converting it into slope-intercept form and then inputting x's to get y's.

#### Explanation:

The easiest way to solve this is to convert it into slope-intercept form, which is

You subtract

Then you divide

Then, you would input x-inputs to get y-inputs for your points.

So if your x-input is 2, then you would do this

Please read the explanation.

#### Explanation:

**Given:**

The **Linear Equation: **

Note that this is the **equation of a straight line**.

The most common form of the equation is

**Slope** or the **Gradient**, and

**y-intercept**.

This form is referred to as the **Slope-Intercept Form**.

Reduce ** #color(red)(4x-3y=6#** to the

**Slope-Intercept Form**.

Get

Subtract

Rearrange the terms as

Rewrite pulling

Divide both sides by

Keep

Divide both the sides of the equation by

Distribute

Observe that **Slope-Intercept Form**.

where

**Slope** or the **Gradient**, and

**y-intercept**.

For this equation generate a table with

Using this table of values, create a graph as shown below:

Hope it helps.