standard form is ax+by=c, we like a and b to be integers, we also like a to be positive basically get x and y on one side
so y-4=(3/4)(x+8) distribte the 3/4 y-4=(3/4)x+6 minus 3/4x from both sides -(3/4)x+y-4=6 add 4 to both sides (-3/4)x+y=10 times both sides by -4 3x-4y=-40