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​​ALGEBRA eXAMPLES

Finding slope and y-intercept

10/4/2016

 
Find the slope and y-intercept of the line, x = 5.
When a linear equation starts off "x = " and then it is a constant term (with no variable) on the other side of the equal sign, this indicates a vertical line.

Vertical lines have slopes which are undefined.

rise
----- = slope    For a vertical line, it is all rise and no run.  Such as 5/0  or  3/0   or  128/0.
run

When you divide by zero, it is considered undefined.

Therefore, the slope of x = 5 is undefined.

Also, since it is a vertical line, passing through 5 on the x-axis, 
there is no y-intercept.


slope = undefined
no y-intercept


Below, is the graph of x = 5.

Picture
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