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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+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=32x+6

1 answer

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

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

  2. Distribute \( 32 \) 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 the equation is in slope-intercept form. The correct response based on the provided options is:

None of the provided options exactly match \( y = 32x + 66 \).

However, it seems like a mistake might be involved as the best match according to the correct rearrangement does not appear within the choices given. Would you like to verify the options?