Respuesta :

Answer:

The equation of the line would be y = 3x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

x - 3y = 3

-3y = -x + 3

y = 1/3x - 1

Now that we have a slope of 1/3, we know that the perpendicular slope is -3 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = 3(x + 3)

y = 3x + 9