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How do you write an equation of a line given (-5,-6), m=0?

Answer 1

Avery Alexander

See the solution process below.

Because the slope of the line is #0#, by definition, this is a horizontal line.

Horizontal lines have the form: #y = a# Where #a# is the same value for #y# for every value of #x#.

Because the #y# value in the point from the problem is #-6# we can write the equation as:

#y = -6#

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Answer 2

Ethan Adkins

The equation of a line with slope m passing through point (x₁, y₁) is given by the formula: y - y₁ = m(x - x₁).

Given the point (-5, -6) and slope m = 0, the equation becomes: y - (-6) = 0(x - (-5)), which simplifies to y + 6 = 0.

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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.