SOLUTION: (5,2) (m,4) (3,5) (n,7) are points on the same line. what is the value of m and n??

Algebra ->  Length-and-distance -> SOLUTION: (5,2) (m,4) (3,5) (n,7) are points on the same line. what is the value of m and n??      Log On


   

Question 832251: (5,2) (m,4) (3,5) (n,7) are points on the same line. what is the value of m and n??
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the two known points to calculate the slope.
%28%28DELTA%29+y%29%2F%28%28DELTA%29+x%29=%285-2%29%2F%283-5%29=3%2F%28-2%29=-3%2F2
Now us one known point and one unknown point using the slope formula.
Solve for the unknown point.
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%284-2%29%2F%28m-5%29=-3%2F2
2%2F%28m-5%29=-3%2F2
4%2F%28m-5%29=-3
4=-3%28m-5%29
4=-3m%2B15
3m=11
highlight%28m=11%2F3%29
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%287-2%29%2F%28n-5%29=-3%2F2
5%2F%28n-5%29=-3%2F2
10=-3%28n-5%29
10=-3n%2B15
3n=5
highlight%28n=5%2F3%29
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