SOLUTION: Line segment CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of line segment CD.

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Question 304924: Line segment CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of line segment CD.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Is (5,2) the center? Or a point on the circle?

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Line segment CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of line segment CD.
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CD is perpendicular to the segment containing (1,7) and (5,2)
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slope = (2-7)/(5-1) = -5/4
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slope of the tangent must be 4/5
The line passes thru (1,7)
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Form:
7 = (4/5)1 + b
b = 31/5
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Equation:
y = (4/5)x + 31/5
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Cheers,
Stan H.