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

Answer 1

Eli Assouline

"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:

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Answer 2

Isaiah Anthony

See explanation.

Drawing a single line without additional information is not possible because there are an infinite number of lines that pass through a single point.

Among the potential lines are:

#y=3/2x#

#y=x-1#

#y=-3#

and so forth.

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

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Answer 3

Avery Alexander

To graph a line with an undefined slope passing through the point (-2, -3), draw a vertical line passing through the point (-2, -3). Since the slope is undefined, the line will be vertical.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.