Question

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

Answer 1

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.