James P. answered • 07/31/15

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PHD Geneticist and Pharmacological Discovery specialist teaching Math

x + 2y = 3 is a straight line equation that can be written as

y = -x/2 + 3/2

All lines parallel to this will be of the form

y = -x/2 + b, where b is the value of the y intercept. Our line has to go through the point (3,6). This means:

6 = -3/2 + b

b = 6 + 3/2 = 12/2 + 3/2 = 15/2

So our required line is

y = -x/2 + 15/2

This has to be converted to "standard " form for the answer, so multiply both sides by 2 to get

2y = -x + 15

And add x to both sides to get all variables on the left -

x + 2y = 15

And we're done...

Michael J.

07/29/15