A perpendicular line has a slope which is the negative reciprocal. In this question the line has a slope of - 6, so the perpendicular slope is 1/6.
Thus, the perpendicular line will have equation y=1/6x+b where b is the y-intercept and can be any real number. No matter what the b value is, it will still be perpendicular since the slope is perpendicular.
