What is the slope of the line x = -5?

undefined

0

-5

5

Question

What is the slope of the line x = -5?

 undefined

 0

 -5

 5

solomonzelman · Answer

x=-5

 the line is vertical right ?

anonymous · Answer

0

anonymous · Answer

and yes the line would be vertical

solomonzelman · Answer

No, you are incorrect. The slope is not ZERO.

anonymous · Answer

thaanks solomon

anonymous · Answer

why not the line would be straight

solomonzelman · Answer

I haven't helped you yet.

S.kumar

try to put any 2 points of any vertical line (where x values are the same) into the SLOPE FORMULA.

$$slope~~formula~~~:~~~~~~~~~~~~~\huge\color{blue}{  x=\frac{y_1-y_2}{x_1-x_2}   } $$

solomonzelman · Answer

you would always end up dividing by zero (which is undefined), see?

anonymous · Answer

yes i understand THAT but what would the answer be between 0,5,and -5

solomonzelman · Answer

the answer? answer for what?  the slope is undefined, and the line is x=-5

anonymous · Answer

oh sorry i didnt see the option undefined:]

solomonzelman · Answer

Yeah, if the line is HORIZONTAL it's for a similar reason 0.

you can see this by putting any points of any horizontal line into the slope formula, just like when it comes to proving that the slope of a vertical line is undefined.