SOLUTION: can you help me find the x and y intercepts of the rational function: y= (x+3)/(x-2)

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Question 920609: can you help me find the x and y intercepts of the rational function:
y= (x+3)/(x-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-intercept(s):

the x-intercepts occur when y = 0. Plug in y = 0 and solve for x.

y=+%28x%2B3%29%2F%28x-2%29

0=+%28x%2B3%29%2F%28x-2%29

0%28x-2%29=+x%2B3

0=+x%2B3

0-3=+x

x+=+-3

The x-intercept is (-3,0)

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The y-intercept happens when x = 0

Plug in x = 0 and solve for y.

y=+%28x%2B3%29%2F%28x-2%29

y=+%280%2B3%29%2F%280-2%29

y=+-3%2F2

The y-intercept is (0, -3/2) which is the same as (0, -1.5) because -3/2 = -1.5


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim