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If the line runs parallel to the x axis (horizontally), its slope is 0. If runs parallel to the y axis (vertically), then its slope is undefined.

This is because slope equals rise (y) divided by run (x).

For example, if the line is raised 0 units on the y scale and runs 3 units over from the origin on the x scale, you calculate slope by dividing 0 (rise) by 3 (run), which equals 0. On the other hand, if we were to flip the units, the case would be different. If you go up 3 units on the y scale, and over 0 units on the x scale, you would divide 3 (rise) by 0 (run), which is undefined because it is impossible to divide by zero.

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Q: Is the slope of a flat line undefined?
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Related questions

What is the direction of the line with an undefined slope?

A vertical line has an undefined slope.


A horizontal line has an undefined slope?

No, the slope of a horizontal line is 0. The slope of a vertical line is undefined.


Do undefined slopes have a slope?

An undefined slope is just a line straight down. The slope is undefined.


Do horizontal lines have an undefined slope?

No. The slope of a horizontal line is zero. The slope of a vertical line is undefined.


Is an undefined slope a vertical or horizontal line?

An undefined slope is vertical.


How can you tell if a slope is zero or undefined?

A slope is 0 if it is a straight horizontal line. A slope is undefined if it is a straight vertical line.


Write an equation for undefined slope?

The equation of a line with an undefined slope is x = a.


What is the difference between a line that has a zero slope and a line that has a undefined slope?

zero is horizontal, undefined is vertical


When the slope of a line is indefinite?

The slope of a line is undefined if the line is vertical.


Does a vertical line have an infinite slope?

No, the slope is undefined


What is the difference between undefined slope and no slope?

Undefined slope is when a line is exactly on the y-axis, for reasons unknown, the slope of a line on the y-axis cannot be determined, so therefore it it "undefined." A line with no slope is a line with a slope of zero. In order for a line to have a slope of zero, it must be directly on the x-axis, meaning it is horizontal. Horizontal lines are straight and have no slope


Slope of a vertical line?

The slope of a vertical line is undefined. Horizontal slope is 0.