### Home > INT3 > Chapter Ch1 > Lesson 1.1.3 > Problem1-48

1-48.

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

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

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

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.

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