Question

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

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
y equals Start Fraction 3 over 2 End Fraction x plus 5

y=32+5x

Answer 1

To convert the equation \( y - 2 = 32(x + 2) \) into slope-intercept form (\( y = mx + b \)), we need to solve for \( y \).

1. Start with the original equation:
\[
y - 2 = 32(x + 2)
\]

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

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

Now we have the equation in slope-intercept form, where \( m = 32 \) and \( b = 66 \).

None of the provided response options accurately match what we found: \( y = 32x + 66 \).

If you'd like to check one of the options or if there was any confusion in interpreting the problem, please let me know.