SOLUTION: How do I determine 'a' and 'b' such that the line with equation ax+by=4 passes through the point (5, 2) and has a slope of 2/3.

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Question 793744: How do I determine 'a' and 'b' such that the line with equation ax+by=4 passes through the point (5, 2) and has a slope of 2/3.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
If the line passes through the point (5, 2),
or
Solving for ,
-->-->
we get the equation in the slope intercept form, where the slope is the coefficient of , so
-->

Now we solve the system
-->-->-->
and substituting into we get
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