Standard form: Ax + By = C where A, B, and C are integers. (if you don't remember, integers are numbers like ...-2, -1, 0, 1, 2, 3...etc.)
Question 1 y+3=4(x-1) Distribute the 4. y+3=4x-4 Subtract 3 from the left. y=4x-7 Subtract 4x from the right. -4x+y=-7 multiply everything by -1 and make the x coefficient positive, it looks better 4x-y=7
y=1/4x-2 multiply everything by 4 to get rid of fractions 4y=x-8 subtract x -x+4y=-8 multiply by -1 x-4y=8
y+2=2/3(x+4) multiply by 3 to get rid of fractions 3y+6=2(x+4) distribute 3y+6=2x+8 subtract 6 3y=2x+2 subtract 2x -2x+3y=2 multiply by -1 2x-3y=-2
