SAT Math Multiple Choice Practice Question 555: Answer and Explanation

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Question: 555

12. What is the distance between the x-intercept and the y-intercept of the line y = x - 6?

A. 9
B. 15
C. (approximately 9.43)
D. (approximately 10.82)
E. 15 + (approximately 25.82)

Correct Answer: D

Explanation:

D First find the x- and y-intercepts. The y-intercept is (0, –6). To find the x-intercept, replace y with 0: 0 = x ? 6; 6 = x; and x = 9. So, the x-intercept is (9, 0). Now create a triangle and use the Pythagorean theorem: 62 + 92 = 117. The distance between the x- and y-intercepts is .

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