How do you graph the line through point (-2,-3) and slope is undefined?

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Answer 1 · 2017-10-24T15:12:49

See explanation.

There are infinitely many lines passing through a single point, so it is not possibvle to draw a single line without additional information.

The possible lines can be:

#y=3/2x#

#y=x-1#

#y=-3#

and so on.

graph{(y-3/2x)(y-x+1)(y+x+5)=0 [-10, 10, -5, 5]}

Answer 2 · 2017-10-24T15:52:04

"Undefined" is a special term that refers to a vertical line, which essentially has an infinite (undefined) slope.

A line through the point (-2,-3) with undefined slope is the vertical line through that point:
enter image source here