How do you find the slope for y=18?

Answer 1

#0#

#y=18# allocates a constant value of 18 to y.

So no mater what value #x# is #y# will always be 18

The result is a straight line that is parallel to the x-axis and the line passes through the point on the y-axis #(x,y)->(0,18)#

' ~ ~~~~~~~

In terms of math:

The slope is #("change in y")/("change in x")#

Let any point #P_1->(x_1,y_1)=(x_1,18)#

Let another point #P_2->(x_2,y_2)->(x_2,18)# where #P_1!=P_2#

Then slope #->m->("change in y")/("change in x") = (y_2-y_1)/(x_2-x_1) = (18-18)/(x_2-x_1) =0#

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Answer 2

Abigail Allen

For the equation (y = 18), since it represents a horizontal line, the slope is 0. Horizontal lines have a slope of 0 because they are parallel to the x-axis and do not rise or fall vertically.

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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.