How do you find the x and y intercepts of #2y-5=0#?

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Answer 1 · 2017-03-21T20:47:10

y-intercept = #5/2#

By definition, the y-intercept is where the graph crosses the y-axis.

We can re-arrage the equation like this:

#2y-5=0#

#=> 2y=5#

#=> y=5/2#

This, therefore, is the equation of a line which always satisfies #y=5/2#. This can be graphed as follows:

graph{0x+5/2 [-10, 10, -5, 5]}

As you can see, the graph crosses the y-axis at #5/2#. Therefore, this is the y-intercept.

On the other hand, the graph never crosses the x-axis. Therefore, the x-intercept does not exist.