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The tangent to the curve y = x² - 5x + 5, parallel to the line 2y = 4x + 1, also passes through the point:
- (1/4, 7/2)
- (-1/8, 7)
- (7/2, 1/4)
- (1/8, -7)
Correct answer: (1/8, -7)
Solution
The correct option (1/8, -7) is the point where the tangent to the curve has the same slope as the given line, which is 2. By finding the derivative of the curve and setting it equal to 2, we can determine the point of tangency, which confirms that this point lies on the tangent line.
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