Question 1011495: What is the slope of the line that is parallel to x=4?
What is the slope of the line that is perpendicular to x=4?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! What is the slope of the line that is parallel to x=4?
x=4 is parallel to the y-axis, often called vertical.
x is constant.
slope m = diffy/diffx = diffy/0 --> undefined, or infinite.
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What is the slope of the line that is perpendicular to x=4?
Parallel to the x-axis.
No change in y --> m = 0
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! when two lines are parallel their slopes are the 
since the line  is a vertical line, its slope is undefined
Is the vertical line going up on one end? Well, kind of. Is the vertical line going down on the other end? Well, kind of. Is there any number that is both positive and negative? Nope.
vertical lines have NO SLOPE. In particular, the concept of slope simply does not work for vertical lines. The slope doesn't exist! Let's do the calculations.
I'll use the points ( ,  ) and (,  ); the slope is:
the line that is perpendicular to the vertical line is the horizontal line, for example 
Is the horizontal line going up; that is, is it an increasing line? No, so its slope won't be positive. Is the horizontal line going down; that is, is it a decreasing line? No, so its slope won't be negative. What number is neither positive nor negative?  !
So the slope of this horizontal line is:
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