SAT Math Multiple Choice Question 677: Answer and Explanation

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Question: 677

2. y = -3(x - 2)2 + 2

In the xy-plane, line l passes through the point (-1, 3) and the vertex of the parabola with equation above. What is the slope of line l?

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Correct Answer: C

Explanation:

C

Advanced Mathematics (parabolas) MEDIUM

The vertex of a parabola with the equation y = A(x - h)2 + k is (h, k). For this parabola, h = 2 and k = 2. So, the vertex is (2, 2). The slope of the line that passes through (1, -3) and (2, 2) is

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