Question 142703: CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of CD.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of CD.
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Draw a circle with center at Z(5,2) and perimeter passing thru W which has
coordinates (1,7).
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Draw a radius from Z to W.
Draw a tangent at (1,7) that is perpendicular to ZW.
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The slope of ZW is (7-5)/(1-5) = 2/-4 = -1/2
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Then the slope of CD must be 2 since it is perpendicular to ZW
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Cheers,
Stan H.
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