Write y−2=32(x+2) in slope-intercept form.(1 point)Responsesy=32x+6 y equals Start Fraction 3 over 2 End Fraction x plus 6y=32x+32 y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fractiony=32x+5y equals Start Fraction 3 over 2 End Fraction x plus 5y=32+5x

Answer 1

To convert the equation \( y - 2 = 32(x + 2) \) into slope-intercept form (which is \( y = mx + b \)), follow these steps:

1. Distribute \( 32 \) on the right side: \[ y - 2 = 32x + 64 \]

2. Add \( 2 \) to both sides to isolate \( y \): \[ y = 32x + 64 + 2 \] \[ y = 32x + 66 \]

Now, \( y \) is expressed in slope-intercept form:

• The slope \( m \) is \( 32 \).
• The y-intercept \( b \) is \( 66 \).

If we look at the given response choices for confirmation:

• \( y = 32x + 6 \)
• \( y = \frac{3}{2} x + 6 \)
• \( y = 32x + 32 \)
• \( y = \frac{3}{2} x + \frac{3}{2} \)
• \( y = 32 + 5x \)

None of these match \( y = 32x + 66 \). Therefore, it appears there are no correct choices listed based on the transformation. The correct form is: \[ y = 32x + 66 \]