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