Christopher D. answered • 01/11/14
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x-intercepts are points where a curve intersects the x-axis. Ordered pairs that can be x-intercepts are any coordinates that lie on the x-axis; all points on the x-axis have a y value of zero. Three example would be (1, 0); (200, 0); or (-2, 0). In general these are the points (x, 0), where x is any number.
y-intercepts, similarly, are points where a curve intersects with the y-axis. These ordered pairs would have to lie on the y-axis, and therefor, have an x value of zero. Three examples would be (0, 1); (0, -2); or (0, 0). In general these are the points (0, y), where y is any number.
If the point isn't an x-intercept (x, 0), or a y-intercept (0, y), it is any point (x, y) where neither x nor y is zero. Three examples would be (1, 1); (-1, 5); or (0.2, -0.1).
