Question

What is the x-intercept of the line perpendicular to the line defined by 3x-2y=6 and whose y-intercept is 2?

Answer 1

if the line has equation 3x-2y=6 => y =3/2 x -3 then
line perpendicular to above line has equation y=-2/3 x +k where k=constant=y-intercept
so, y=-2/3 x + 2
now to find x-intercept, you know y = 0 so,
so, x =3
i.e x-intercept = 3