How do you find the equation for the perpendicular bisector of the segment with endpoints #(-1,-3)# and #(7,1)#?
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To find the equation for the perpendicular bisector of the segment with endpoints ((-1,-3)) and ((7,1)), follow these steps:
- Find the midpoint of the segment by averaging the coordinates of the endpoints.
- Determine the slope of the segment by using the formula (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}).
- Find the negative reciprocal of the slope of the segment to get the slope of the perpendicular bisector.
- Use the midpoint coordinates and the slope of the perpendicular bisector to write the equation of the line in point-slope form.
- Optionally, simplify the equation into slope-intercept form if desired.
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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.
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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