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What is the equation of the horizontal line that passes through the point (2, -3)?

Answer 1

Avery Alexander

see below:

If the line is horizontal then it is parallel to x-axis which means its slope is 0.

so you can use 'point slope formula' to get the equation.I'm using that to solve it.

point slope formula---#(y-y1)/(x-x1)=m# (where m=slope)

so according to this ,eqn will be: #(y+3)/(x-2)=0#

simplifying it :

#y+3=0# therefore, # y=-3# (the final answer.)

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Answer 2

Jace Anderson

The equation of the horizontal line passing through the point (2, -3) is y = -3.

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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.