SOLUTION: What is the slope of a verticale and horizontal line?

Question 1204093: What is the slope of a verticale and horizontal line?
Found 2 solutions by mananth, math_tutor2020:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
What is the slope of a verticale and horizontal line?
The slope of the line is given by m = tan , where is the angle made by the given line with X axis.
A vertical line makes angle with the X axis.
m=tan is udefined or infinity
A horizontal line is a line parallel to the X axis, =0
m=tan 0 = 0
The slope of a vertical line is infinity; the slope of a horizontal line is zero.

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answers
Slope of vertical line = undefined
Slope of horizontal line = 0

Reason

Consider, for example, the two points (5,7) and (5,9).
They are on a vertical line.
Plug those coordinates into the slope formula
Afterward you'll find the denominator turns to 0. This is a problem.
We cannot have 0 in the denominator. This leads to "undefined".

Now consider the two points (1,2) and (5,2) which are on a horizontal line.
Plug those coordinates into the slope formula mentioned earlier, and you'll get a slope of 0. This time the numerator is 0 which is allowed.
0/x = 0 when x is nonzero.

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