standard form

kimbero5

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Joined
Sep 11, 2005
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how do i put an equation into Ax+By=C form?? My problem is to put the line passing through (1,-2) with slope 2 into standard form.
 
G'day, kimbero5!

First we use the straight line equation:
y - y1 = m(x - x1)

where (x1,y1) is any point on the line, and where m is the gradient.

We have a point (1,-2) and a gradient of 2.

Plugging into the equation as above:
y - (-2) = 2(x-1)

Expanding the brackets
y + 2 = 2x - 2

Bring the 2 and the y from the left hand side to the right hand side by subtracting gives:

0 = 2x - y - 4

Or
2x - y - 4 = 0

This is a standard form (ie. having it equal to zero). The other common form being y=mx + c. If you want a "C" on the right hand side as you have said then here you would have 2x - y = 4.
 
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