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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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Do horizontal lines have an undefined slope?
No. The slope of a horizontal line is zero. The slope of a vertical line is undefined.
What does an undefined slope look like?
Undefined slope is a vertical line along the horizontal point of origin., the slope would have a denominator of zero, which is undefined.
The slope of a vertical line?
Undefined.
What is the slope of a line parallel to the y-axis?
The slope is undefined.
A line parallel to another line with an undefined slope must also have an undefined slope?
Sounds reasonable. If the lines are parallel, then their slopes are equal.
