# How do you graph the direct variation equation #y=-\frac{1}{6}x#?

Assign a value for x to find the value of y

etc.

The graph of this function:

graph{-x/6 [-5, 5, -2.5, 2.5]}

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To graph the direct variation equation y = -1/6x:

- Choose several x-values.
- Substitute each x-value into the equation to find the corresponding y-values.
- Plot the points (x, y) on a coordinate plane.
- Connect the points with a straight line.

Since this equation is in the form of y = mx, where m is the slope, and there is no constant term, it means the line passes through the origin and has a slope of -1/6.

For example:

- Let x = 6, then y = -1. So the point (6, -1) is plotted.
- Let x = -6, then y = 1. So the point (-6, 1) is plotted.

Plot these points and connect them with a straight line to graph the direct variation equation y = -1/6x.

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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.

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.

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.

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