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sergij07 [2.7K]
3 years ago
6

is the diameter of a circle with center p. the coordinates of the endpoints of the diameter are (1, 3) and (6, 6). what are the

coordinates of point p?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0
You need to find midpoint of the diameter. To find x coordinate you take (x1 + x2)/2 = (1+6)/2 = 7/2 And same thing for y. ( y1 + y2)/2 = (3+6)/2 = 9/2.
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For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))

For example:

Slope = 2 or \frac{2}{1}

Perpendicular line's slope = -\frac{1}{2}   (flip the sign from + to -, and flip the fraction)

Slope = -\frac{3}{4}

Perpendicular line's slope = \frac{4}{3}  (flip the sign from - to +, and flip the fraction)

y = 1/3x + 4        The slope is 1/3, so the perpendicular line's slope is -\frac{3}{1} or -3.

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

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sammy [17]
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Alenkinab [10]
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