9 Given a line with equation 6x y 5 Write an equation in poi

9) Given a line with equation -6x +y -5. Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -3).

Solution

9. The equation of the given line is -6x+y = -5 or, y = 6x-5. The slope of this line is 6.Therefore,the slope of a line perpendicular to the given line is -1/6. Further, since the required line passes through the point (2,-3), the point-slope form equation of the required line is (y+2) = -1/6(x-2).