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