first find slope4x-2y = 4 add 2y to both sides4x=2y+4subtract 4 from both sides4x-4=2ydivide all by 22x-2=yy=2x-2this is in y=mx+b form with m being the slope and b being the y interceptthe slope of your new line is 2y = m*x + b and you know from the pointx = 6y = -4m = 2so solve for b-4 = 2*6 + b-4 = 12 + bsubtract 12 from both sides b = -16so the m = slope = 2and the b = y intercept = -16your line is y = 2x - 16
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