What are the intercepts of the line #y = x – 3#?

1 Answer
Alan P.
Oct 6, 2015

y-intercept: #-3#
x-intercept: #3#

Explanation:

The y-intercept is the value of #y# when #x=0# (that is at the point where the graph crosses the Y-axis, since for all points on the Y-axis, #x=0#)
Setting #x=0# in the given equation #y=x-3# results in
#color(white)("XXX")y=0-3=-3#

Similarly the x-intercept is the value of #x# when #y=0#
#color(white)("XXX")0=x-3color(white)("XXX")rarrcolor(white)("XXX")x=3#

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