x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0. y intercept The y intercept is the point where the line crosses the y axis. At this point x = 0.
Consider the following equation:
6x +3y = 18
To find the x intercept set y = 0.
6x + 3(0) = 18
6x = 18
x 3 The x intercept is (3,0)
To find the y intercept set x = 0.
6(0) +3y = 18
3y = 18
y = 6 The y intercept is (0,6)