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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