Question

Write y−2=32(x+2)
in slope-intercept form.(1 point)
Responses

y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x

y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6

y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction

y=32x+5

Answer 1

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

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

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

Now, we have the slope-intercept form: \( y = 32x + 66 \).

None of the provided responses match this solution. The correct expression in slope-intercept form is:

\[
y = 32x + 66
\]