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How do you find slope and y-intercept of #y=6#?

Answer 1

Genesis Allen

slope = #0#
y-intercept = #6#

Shown above is the graph of #y=6#.

The line crosses the y-axis at #6#, as the line is always at that value. As it is a horizontal line, the slope is zero.

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Answer 2

Hazel Anglin

See a solution process below:

The equation #y = 6# means for each and every value of #x#, #y# will be equal to #6#.

This is the definition of a horizontal line.

By definition, the slope of a horizontal line is #m = 0#

When #x = 0# then #y = 6#

Therefore, the #y#-intercept is: #(0, 6)#

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Answer 3

Eva Adamson

The equation ( y = 6 ) represents a horizontal line. The slope of this line is 0 because it does not rise or fall. The y-intercept is the point where the line intersects the y-axis, which in this case is ( (0, 6) ).

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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.