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Difference between revisions of "1958 AHSME Problems/Problem 27"

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== Solution ==
 
== Solution ==
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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.
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<math>\text{(A)}12</math>
  
 
== See Also ==
 
== See Also ==

Latest revision as of 09:19, 3 December 2016

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. $\text{(A)}12$

See Also

1958 AHSC (Problems • Answer Key • Resources)
Preceded by
Problem 26 		Followed by
Problem 28
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All AHSME Problems and Solutions

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