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Change the equation from standard form to slope-intercept form by solving for y. 8x−4y=24 Determine who changed the equation correctly: Bob: Subtract 8x from both sides: −4y=−8x+24 Divide by -4 on both sides: y=2x−6 Bill: Subtract 8x from both sides: −4y=16x Divide by -4 on both sides: y=−4x Bud: Subtract 8x from both sides: −4y=−8x+24 Divide by -4 on both sides: y=2x+24 (1 point) Responses None of them are correct None of them are correct Bud Bud Bob Bob Bill

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Let's solve the equation \( 8x - 4y = 24 \) step by step to determine who changed the equation correctly.

  1. Subtract \( 8x \) from both sides:

    \[ -4y = -8x + 24 \]

  2. Divide by -4 on both sides:

    \[ y = \frac{-8x}{-4} + \frac{24}{-4} \] \[ y = 2x - 6 \]

So, the correct slope-intercept form of the equation is \( y = 2x - 6 \).

Now, let's review the answers given by Bob, Bill, and Bud:

  • Bob: \( y = 2x - 6 \) (Correct)
  • Bill: \( y = -4x \) (Incorrect)
  • Bud: \( y = 2x + 24 \) (Incorrect)

Based on the above analysis, Bob changed the equation correctly.

Final Answer: Bob