In order to find the x and y intercepts of an equation, you can plug in 0 for the opposite variable. Let us solve for the intercepts now.
x-intercept
We are going to plug in 0 for y and the solve for x:
[tex]3x+6y=18[/tex]
[tex]3x+6(0)=18[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
So now we know the x-intercept of the line is: (6, 0)
y-intercept
We are going to plug in 0 for x and solve for y:
[tex]3x+6y=18[/tex]
[tex]3(0)+6y=18[/tex]
[tex]6y=18[/tex]
[tex]y=3[/tex]
So now we know that the y-intercept for the line is: (0, 3)
