Find the x-interceptTo find the y-intercept, we must use 0 for x.

Substitute x = 0 into 2x + 3y = 6 and solve for y:

2x + 3y = 6

2(0) + 3y = 6

0 + 3y = 6

3y = 6

y =

y = 2

Therefore, the y-intercept is b = 2, (0,2).

Substite x=0

Simplify

Solve for y

3

6

Find the y-interceptTo find the x-intercept, we must use 0 for y.Substitute y = 0 into 2x + 3y = 6 and solve for x.

2x + 3y = 62x + 3(0) = 62x + 0 = 62x = 6x =

x = 3Therefore, the x-intercept is 3, (3,0).

Substitute y=0

Simplify

Solve for x

2

6

Graphing the Equation

Now, graphing using the y-intercept, 2, and the x-intercept, 3. Connect the two intercepts with a line.

Plot the x and y – intercepts and graph the line 2x + 3y = 6

Graphing the Equation

6

4

2

-2

-4

-6

-10 -5 5 10