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How to write y=-1/2x + 1 in standard form

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Hey there!

ANSWER:
x+2y=2

Step-by-step explanation:

The equation in y=mx+b is
y=-(1)/(2)x+1

To write in standard form, it would look like:
Ax+By=C

As you can see, the x and y should be on the same side. You will need to move
-(1)/(2)x to the other side. When moving a number/variable to the other side, the sign changes, therefore, the negative sign will be removed. It is also the same as adding the opposite of it to both sides.


y=-(1)/(2)x+1\\ y+(1)/(2)x=-(1)/(2)x+(1)/(2)x + 1\\y+(1)/(2)x=1

In standard form, there are no fractions, only whole numbers. The fraction can be removed by multiplying it by its opposite. The opposite of
(1)/(2) is
(2)/(1) \rightarrow 2.

The entire equation has to be multiplied by 2:


(y+(1)/(2)x=1) * 2 \rightarrow 2y+x=2


x+2y=2

Hope this helps!


\text{-TestedHyperr}

User Chris Judge
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