Graph the line $y = 3x + 3$.

1. Sketch the line that is perpendicular to $y = 3x + 3$ that passes through the point $\left(–3, 2\right)$.

   Hint (a):

   When two lines are perpendicular to each other, how are their slopes related?

   More Help (a):

   Using the new slope, travel from the given point to the $y$-axis to find the new $y$-intercept.

2. Write the equation of the perpendicular line.

   Answer (b):

   $y=-\frac{1}{3}x+1$