1958 AHSME Problems/Problem 27

Problem

The points $(2,-3)$ , $(4,3)$ , and $(5, k/2)$ are on the same straight line. The value(s) of $k$ is (are):

$\textbf{(A)}\ 12\qquad \textbf{(B)}\ -12\qquad \textbf{(C)}\ \pm 12\qquad \textbf{(D)}\ {12}\text{ or }{6}\qquad \textbf{(E)}\ {6}\text{ or }{6\frac{2}{3}}$

Solution

First find the slope. Then use the point-slope formula to find the equation of the line. Then substitute 5 for x to find y. $\text{(A)}12$

1958 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 26	Followed by Problem 28
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1958 AHSME Problems/Problem 27

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