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

y-intercept =

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

We can re-arrage the equation like this:

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

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

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To find the x-intercept, set y = 0 and solve for x:

2(0) - 5 = 0 -5 = 0

Since -5 ≠ 0, there is no x-intercept.

To find the y-intercept, set x = 0 and solve for y:

2y - 5 = 0 2y = 5 y = 5/2

So, the y-intercept is (0, 5/2).

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