Answer :
Hey there!
ANSWER: [tex]x+2y=2[/tex]
EXPLANATION:
The equation in y=mx+b is [tex]y=-\frac{1}{2}x+1[/tex]
To write in standard form, it would look like: [tex]Ax+By=C[/tex]
As you can see, the x and y should be on the same side. You will need to move [tex]-\frac{1}{2}x[/tex] 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.
[tex]y=-\frac{1}{2}x+1\\ y+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x + 1\\y+\frac{1}{2}x=1[/tex]
In standard form, there are no fractions, only whole numbers. The fraction can be removed by multiplying it by its opposite. The opposite of [tex]\frac{1}{2}[/tex] is [tex]\frac{2}{1} \rightarrow 2[/tex].
The entire equation has to be multiplied by 2:
[tex](y+\frac{1}{2}x=1) \times 2 \rightarrow 2y+x=2[/tex]
[tex]x+2y=2[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]