Let \( x \) represent the height of Cassandra's younger brother in inches. According to the problem, Cassandra's height of 63 inches is 6 inches less than 3 times her brother's height. We can set up the equation as follows:
\[ 3x - 6 = 63 \]
In this equation:
- \( p = 3 \) (the coefficient of \( x \))
- \( q = -6 \) (the constant term on the left side)
- \( r = 63 \) (the constant term on the right side)
So the equation in the form \( px + q = r \) is:
\[ 3x - 6 = 63 \]