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SAT官方每日一题：2012年4月12日

2012-04-21来源:互联网

　　2012年04月12日

　　考试类型: Mathematics > Standard Multiple Choice

　　Read the following SAT test question and then click on a button to select your answer.

　　In thexy-plane , linelis perpendicular to the graph of the functionfunction f of x = (5 times x) minus 2 . Line lcould be the graph of which of the following functions?

　　A.function g of x = negative ( 5 times x)

　　B.function g of x = negative (1 over 5) times x

　　C.function g of x = x minus 2

　　D.function g of x = (1 over 5) times x

　　E.function g of x = 5 times x

正确答案:B

解析:

If two lines are perpendicular, the product of their slopes is equal to negative 1. The functionfunction f of x = (5 times x ) minus 2is in slope-intercept form, so the slope of the graph of　function f of x = (5 times x ) minus 2 is equal to5 . Therefore, the slope of linelmust be equal tonegative (1 over 5) . The only choice that corresponds to a slope ofnegative (1 over 5) isfunction g of x = negative (1 over 5 ) times x .
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