# How do you find the equation that is the perpendicular bisector of the line segment with endpoints #(-2, 4)# and #(6, 8)#?

Equation of the perpendicular bisector:

The slope of the line connecting these points must first be determined:

The midpoint's coordinates are also required.

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To find the equation of the perpendicular bisector of a line segment with endpoints $(-2, 4)$ and $(6, 8)$, follow these steps:

- Find the midpoint of the line segment using the midpoint formula:

- Determine the slope of the line segment using the slope formula:

- Find the negative reciprocal of the slope calculated in step 2 to get the slope of the perpendicular bisector.
- Use the midpoint found in step 1 and the slope from step 3 in the point-slope form of the equation of a line:

- Simplify the equation obtained in step 4 to its standard form, if required.

Following these steps, you can find the equation of the perpendicular bisector of the line segment.

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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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