SOLUTION: The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
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Question 1024962: The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There must be a less painful way to do this.
The distance from (a,b) to (6,3) is
, so
because point (a,b) ies on the line .
--> --> -->
Substituting that expression in we get
Multiplying both sides of the equal sign times , we get
-->
Applying the quadratic formula, we get
--->
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