Answered

Which equation shows y=−1/2x+4 in standard form?

A2x+y=8
Bx+2y=8
Cx+2y=-8
D2x-y=8

Verified Answer :

skyluke89

Answer: B. x+2y=8

Explanation:

The original equation is:

\(y=-\frac{1}{2}x+4\)

The problem asks us to convert the equation in the standard form, so in the form

\(ax+by=c\)

with a,b and c being integers.

In order to do that, first of all let's bring on the same side both x and y:

\(y+\frac{1}{2}x=4\)

Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get

\(2y+x=8\)

and this corresponds to option B.

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