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

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

y=32x+32

1 answer

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

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

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

Now, comparing with the options provided, it seems none match accurately with \( y = 32x + 66 \).

However, here is the corrected slope-intercept form:

\[ y = 32x + 66 \]

Since none of the responses correspond to this form, it indicates an error in the answers provided. Please check to ensure the original equation is entered correctly or check the provided options, as none match the result.