Posted by **Liza** on Wednesday, November 18, 2009 at 5:06pm.

I was challenged with this question: Explain why the formula for determining slope using the coordinated of two points does not apply to vertical lines.

This was my answer: The formula for determining a slope using two points does not apply to vertical lines simply because it would be illogical to divide by 0. To find a slope of a horizontal line we use the formulam= y1-y2/x1-x2 this stipulates that we have two points to work with.

Vertical lines have no slope. Thus, the concept of slope simply does not work for vertical lines. A vertical line will have no slope, and the slope is undefined.

A slope of 0=horizontal,

Vertical lines are in the form of x=some number, such as x=6; When a line involves an undefined slope the line is vertical, and when a line is vertical you will end up dividing by 0 if you try and compute slope.

According to page 530 of the text” a two point on a vertical line have the same x coordinate, thus the change in x is always 0, always undefined. The formula for

- Math /Algebra -
**bobpursley**, Wednesday, November 18, 2009 at 5:34pm
You have some errors:

"would be illogical" should be it is not defined (not allowed) to divide by zero.

Vertical slopes have no slope. Should be vertical lines have undefined slope.

- Math /Algebra -
**muff**, Saturday, November 28, 2009 at 10:46am
find an equation of the line containing the given pair of points (-5,-7) & (-3,-8)

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