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How do you graph #y=-2/3x-2#?

Answer 1

This is a linear function and is represented graphically by a straight line with slope #m=-2/3# and passing through:
#x=0# #y=-2#
and
#y=0# #x=-3#

Graphically: graph{-2/3*x-2 [-10, 10, -5, 5]}

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Answer 2

Julia Adams

To graph y = -2/3x - 2, follow these steps:

Plot the y-intercept: The y-intercept is -2, so plot the point (0, -2) on the y-axis.
Use the slope: The slope is -2/3, which means that for every increase of 1 unit in x, y decreases by 2/3. From the y-intercept, move 1 unit to the right and 2/3 units down. This gives you another point on the line.
Connect the points with a straight line.

You now have a graph of the equation y = -2/3x - 2.

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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.