Question

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

Answer 1

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!

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