Difference between revisions of "1992 AHSME Problems/Problem 3"
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== Solution == | == Solution == | ||
| − | <math>\ | + | We know that the formula for slope is <math>m = \frac{y_2-y_1}{x_2-x_1}</math> |
| + | We are give the points <math>(m,3)</math> and <math>(1,m)</math>. | ||
| + | Substituting into the slope formula, we get <math>\frac{m-3}{1-m}</math> | ||
| + | After taking the cross-products and solving, we get <math>\text{(C) } \sqrt{3}\quad</math>. | ||
== See also == | == See also == | ||
Revision as of 16:48, 13 April 2016
Problem
If 
and the points 
and 
lie on a line with slope 
, then 
Solution
We know that the formula for slope is 
We are give the points and .
Substituting into the slope formula, we get 
After taking the cross-products and solving, we get 
.
See also
| 1992 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
