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

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

y=32+5x

1 answer

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

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

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

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

So the equation in slope-intercept form is: \[ y = 32x + 66 \]

Now, looking at the given responses, none of them match \(y = 32x + 66\). However, if we made errors due to misreading, please let me know the exact options given.