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

##### 2 Answers

Find the intercepts with the two axes and draw a line through it.

#### Explanation:

Given:

#4x-3y=6#

Since this equation contains just linear or constant terms, it describes a straight line.

If we put

#-3y=6#

Dividing both sides by

#y = -2#

So the line passes through

If we put

#4x=6#

Dividing both sides by

#x = 6/4=3/2#

So the line passes through

Now we can draw our line through these two intercepts:

graph{(4x-3y-6)(x^2+(y+2)^2-0.005)((x-3/2)^2+y^2-0.005)=0 [-5.17, 4.83, -3.42, 1.58]}

Refer to the explanation for the process.

#### Explanation:

Graph:

We can graph it by solving for the x-intercept

**X-Intercept**

Set

Divide both sides by

Simplify.

x-intercept:

**Y-Intercept**

Set

Divide both sides by

Simplify.

y-intercept:

Plot the x- and y-intercepts on a grid and draw a straight line between the points.

graph{4x-3y=6 [-10, 10, -5, 5]}