To rewrite the equation \( y - 2 = 32(x + 2) \) in slope-intercept form \( y = mx + b \), we need to solve for \( y \).
Starting with the given equation:
\[ y - 2 = 32(x + 2) \]
First, expand the right side:
\[ y - 2 = 32x + 64 \]
Next, add 2 to both sides to solve for \( y \):
\[ y = 32x + 64 + 2 \]
This simplifies to:
\[ y = 32x + 66 \]
Now, this equation is in slope-intercept form. So, the correct slope-intercept form of the equation is:
\[ y = 32x + 66 \]
None of the provided responses are correct. The slope-intercept form of the equation is \( y = 32x + 66 \).