SOLUTION: Hello, thanks!! I just want to know what do I do with the x and y thats given? Plugging it in didn't help Find the equation of the line satisfying the conditions given. Express

Algebra ->  Linear-equations -> SOLUTION: Hello, thanks!! I just want to know what do I do with the x and y thats given? Plugging it in didn't help Find the equation of the line satisfying the conditions given. Express       Log On


   

Question 576066: Hello, thanks!! I just want to know what do I do with the x and y thats given? Plugging it in didn't help
Find the equation of the line satisfying the conditions given. Express the answer in standard form.
Through (9, 7), perpendicular to 7x + 2y = 69
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the given equation is put into the form
+y+=+mx+%2B+b+
the slope of the other is +-%281%2Fm%29+
+7x+%2B+2y+=+69+
+2y+=+-7x+%2B+69+
+y+=+-%287%2F2%29%2Ax+%2B+69%2F2+
+-%281%2Fm%29+=+-%28-2%2F7%29+
+-%281%2Fm%29+=+2%2F7+
So far I have
+y+=+%282%2F7%29x+%2B+b+
Now plug in (9,7) to find b
+7+=+%282%2F7%29%2A9+%2B+b+
+b+=+7+-+18%2F7+
+b+=+%28+49+-+18+%29%2F7+
+b+=+31%2F7+
+y+=+%282%2F7%29%2Ax+%2B+31%2F7+
Multiply both sides by 7
+7y+=+2x+%2B+31+
+2x+-+7y+=+-31+ answer
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Here's a plot of the 2 equations: