SOLUTION: The question on my homework is Find the slope of the given line that passes through the given points (3,-2)(3,2) I got the answer to be 4/0 but if the top of the fraction is po

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Question 663038: The question on my homework is
Find the slope of the given line that passes through the given points (3,-2)(3,2)
I got the answer to be 4/0 but if the top of the fraction is positive dose that mean the answer is still undefined? the answer choices are -2/6 2/6 -2/3 2/3 then undefined im just really confused
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is ( change in y ) / ( change in x )
+%28+2+-%28-2%29+%29+%2F+%28+3+-+3+%29+
+4%2F0+ This is regarded as infinite slope. As a slope gets
larger and larger it approaches a vertical line
The equation of the line that goes through
the 2 given points is +x+=+3+. This means that +x+
is the same value no matter what you pick for +y+,
namely, 3. It is a vertical line.
I think of +0%2F0+ as being undefined. I don't think
infinity is undefined. It's not something other than
infinity. That's pretty well defined.