Y-8=-1/2(x+4) written in standard form

Standard form is ax+by=z (z is a number)
y-8=-1/2(x+4)
get rid of th enasty parenthaseese by multilying both sides by 2
2y-16=-(x+4)
distribute the negative
2y-16=-x-4
add 16 to both sides
2y=-x+12
add x to both sides
1x+2y=12
x+2y=12
tada
distribute

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