Question

Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

Answer 1

the product of slopes of perpendicular lines =-1
-3y=-x+9
y=(1/3)x-3
so the slope of perpendicular line : -3
y-y1=m(x-x1)
y-5=-3(x-3)
y-5=-3x+9
y=-3x+14