**Example A**

With the equation already in standard form, substitute 0 for one of the variables.

-----------> 2x+3y=12 becomes
-----------> 2x+3(0)=12

Next, divide both sides of the equation by 2 because 3(0)=0

-----------> 2x+3(0)=12 becomes
-----------> x=6

Because X=6, that means that the X-intercept is (6,0)

To solve for y, plug zero in the place of x

-----------> 2x+3y=12 becomes
-----------> 2(0)+3y=12

Because 2(0)=0, the numbers cancel out and you are left with

-----------> 3y=12
Next, divide both sides by 3


Y=4 which means that the y-intercept is (0,4)

**Example B**
-----------> 2x+4y=8
Begin by replacing x with zero

-----------> 2x+4y=8 becomes
-----------> 2(0)+4y=8

2(0) cancels out because it equals zero

You are left with -----------> 4y=8
-----------> Divide both sides by 4
Y=2 which means the y-intercept is (0,2)

Next, plug in zero for y
-----------> 2x+4y=8 becomes
-----------> 2x+4(0)=8

4(0)= 0, so it cancels out and you are left with

-----------> 2x=8
-----------> Divide both sides by 2

X=4 which means the x-intercept is (4,0)

**Example A**
-----------> 2x+3y=12

This equation is in standard form, so the first thing you have to do is convert it to slope-intercept form (y=mx+b)

To do this, first subtract 2x


-----------> 2x+3y=12 becomes
-----------> 3y=-2x+12

Then, divide by 3. This will give you the y intercept. In the form y=mx+b, b is the y-intercept.

-----------> 3y=-2x+12 becomes
-----------> y=-2/3x+4

Using this equation, plot the point (0,4) on a graph.

Our slope is -2/3, so move down 2 and over 3. Continue using slope to find the x-intercept.

Because the line intercepts at 6, our x-intercept is (6,0)



**Example B**
-----------> 2y=4x+8
First, divide both sides by 2

-----------> 2y=4x+8 becomes
-----------> y=2x+4

According to y=mx+b, our y-intercept is (0,4)

Next, plot (0,4) on a graph

*Our slope is 2 which becomes 2/1, so move up 2 and go over 1 Now go the opposite direction with the slope, move down 2 and go over 1

 

 

Our x-intercept is (2,0)!

Find the X and Y intercepts using Standard form

--------->3x+6y=18

--------->7x+3y=21

--------->5x+15y=45

Find the X and Y intercepts using Slope-Intercept form

--------->2y=8x+14

--------->6x+2y=18

--------->5y=3x+15