How do you find the intercepts for # x=5#?

1 Answer
Jun 18, 2015

Answer:

#x#-intercept: #(5,0)#
The line does not intersect the #y#-axis.

Explanation:

The graph of #x=5# is merely a straight vertical line, crossing the#x#-axis at #(5,0)# To think about this intuitively, #x=5# just means that #x# will always equal 5. There is no dependency on #y# whatsoever- so no matter what #y# is, #x# will always be 5.

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In terms of intersection, this means that #x=5# will never even intersect the #y#-axis. #x=5# is a vertical line parallel to the vertical #y#-axis. In terms of #x#-intercepts, you can quite simply read it off the equation- When #x# equals 5, it intersects the #x#-axis ( at the point where #y#=0). You can also see on the graph that the point of intersection is #(5,0)#.

Note that #x=5# is not a function however. It does not pass the vertical line test- There are several #y#-values for a single #x#-value.