To rewrite the equation \( y - 2 = 32(x + 2) \) in slope-intercept form, we need to isolate \( y \).
-
Start with the given equation: \[ y - 2 = 32(x + 2) \]
-
Distribute the \( 32 \) on the right side: \[ y - 2 = 32x + 64 \]
-
Now, add \( 2 \) to both sides to solve for \( y \): \[ y = 32x + 64 + 2 \] \[ y = 32x + 66 \]
Now, we have the equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
However, none of your answer options match our result \( y = 32x + 66 \). If you have options of answers that only include certain values, there could be an error or miscommunication in the values given.
Based on the options provided:
- \( y = 32x + 5 \)
- \( y = 32 + 5x \)
- \( y = 32x + 6 \)
- \( y = 32x + 32 \)
None of these are correct based on the equation derived. The correct result is: \[ y = 32x + 66 \]