Turn y=1/2x + 3/2 into standard form

Work Shown:

y = (1/2)x + 3/2

2y = x + 3 multiply every term by the LCD 2

2y-x = 3 ... subtract x from both sides

-x+2y = 3

x-2y = -3 ... multiply both sides by -1

The last step is done so that the x coefficient is positive

The equation is in the form Ax+By = C with

You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.

maybe i can

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