with y = -4x + 2,the gradient of y = -4x + 2 is m1 = -4let the gradient of the line parallel to the given line be m2,then, m2 = m1 = -4(condition for parallelism)using, y - y1 = m2(x - x1)Hence the equation of the parallel line isy - 3 = -4(x-2)y - 3 = -4 x + 8y + 4x = 8 + 3y + 4x = 11y + 4x - 11 = 0