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Mathematics 18 Online
OpenStudy (hannahduhe):

the slope of a vertical line is ______________

OpenStudy (mathmale):

Try drawing a vertical line, Hannah. Then answer these questions by looking at your line: 1) Does x change from one point to another on the vertical line? 2) Identify the coordinates of any 2 points on your vertical line. 3) Substitute these coordinates into the equation for slope:\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] What do you observe?

OpenStudy (amour.anohs):

Do You Have Answer Choices ?

OpenStudy (hannahduhe):

@mathmale I have a word bank to use the words are right, coordinates, parallel, 180, undefined, bisector, midpoint, and supplementary

OpenStudy (across):

Either she has answer choices or her teacher taught her a specific answer to this question. This is because the word "vertical" is not a mathematical word.

OpenStudy (across):

There we go.

OpenStudy (amour.anohs):

The Answer Is Undefined

OpenStudy (mathmale):

"vertical" certainly has its place as a descriptor of a line, or the orientation of a conic section's graph, etc. So please let's focus on the implications of "vertical line."

OpenStudy (amour.anohs):

And @across Vertical Is A Mathematical Term .

OpenStudy (across):

hahaha sure it is

OpenStudy (mathmale):

Hannah: Have you followed any of my initial suggestions?

OpenStudy (hannahduhe):

so its undefined??

OpenStudy (mathmale):

Have you actually drawn a vertical line and have you determined whether or not x changes as you move from one point to another on this vertical line?

OpenStudy (amour.anohs):

Okay W.e

OpenStudy (amour.anohs):

@hannahduhe Its Undefined

OpenStudy (mathmale):

Amour: If you're going to give away answers, then at minimum please explain WHY the slope is undefined.

OpenStudy (amour.anohs):

A Vertical Line Is Undefined Because All Points On The Line Have The Same X-Coordinate .@mathmale Better 😊 @hannahduhe

OpenStudy (hannahduhe):

thank yall so much

OpenStudy (amour.anohs):

And That Is The Slope Of A "Vertical" Line

OpenStudy (mathmale):

In other words, the slope of a vertical line is "undefined" because the x-coordinate does not change, and thus the denominator of the slope formula is zero. Division by zero is undefined.

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