1952 AHSME Problems/Problem 5

Problem

The points $(6,12)$ and $(0,-6)$ are connected by a straight line. Another point on this line is:

$\textbf{(A) \ }(3,3) \qquad \textbf{(B) \ }(2,1) \qquad \textbf{(C) \ }(7,16) \qquad \textbf{(D) \ }(-1,-4) \qquad \textbf{(E) \ }(-3,-8)$

Solution

The slope of this line is $\frac{y_2-y_1}{x_2-x_1}=\frac{12+6}{6-0}=3$ . Hence, its equation is $y=3x-6$ . The only given point which satisfies these conditions is $\boxed{\textbf{(A)}\ (3,3)}$ .

1952 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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1952 AHSME Problems/Problem 5

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