What is the slope of #2x = -8#?

Answer 1

Divide by 2...

#x = -4#

There is no finite answer. The slope is #oo# because #Deltay# goes from #-oo# to #oo#, even when #Deltax = 0#. That means #Deltay = oo#.

#(Deltay)/(Deltax) = oo/0 = oo * 1/0 = oo * oo = oo#

Imagine a line of slope 1 (#y =x#). Now imagine the slope increasing towards #oo#. That would mean the line rotates counterclockwise until it becomes perfectly vertical. That is the line #x = a#. Here, #a = -4#.

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Answer 2

Abigail Allen

The equation 2x = -8 is in the form of x = constant. In this case, the slope is undefined because the equation represents a vertical line, and vertical lines have undefined slopes.

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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.