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Mathematics>Standard Multiple Choice

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

A line segment containing the points (0,0) and (12,8) will also contain the point

(A) (2,3)
(B) (2,4)
(C) (3,2)
(D) (3,4)
(E) (4,2)

答案和解析

答案：C

解析：

The slope of the line containing the points (0,0) and (12,8) is 8/12, or 2/3. If (x,y) is another point on this line segment, then x and y must satisfy y/x = 2/3, or y = (2/3)*x. Of the five choices, (3,2) is the only point for which y = (2/3)*x.