Problem 105 of 7
Prove a radius is perpendicular to tangent line y=x-4 for circle data center (1,1), tangent point (5,1).
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use slope criteria.
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Proof must use slope criteria between radius to tangent point and tangent line.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Compute slope of radius to candidate tangent point.
2. Compute slope of the line.
3. Check negative reciprocal or horizontal/vertical perpendicularity.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Tangent claim if the point or perpendicular condition is not verified.