How do you find the x and y intercepts for x=−3?

1 Answer
Alan P.
Mar 9, 2018

x-intercept at (x,y)=(−3,0)
There is no y-intercept.

Explanation:

The x-intercept is the value of x when y=0 (or sometimes specified as the solution to the equation with coordinates (x,0))
Since x=−3 for all values of y
it follows that x=−3 when y=0

The y-intercept is the value of y when x=0 (or alternately the solution point of the form (0,y))
Since x≠0 not matter what value is assigned to y, no such point exists (graphically x=−3 is a vertical line parallel to, and therefore never intersecting, the Y-axis).

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