8. 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)ResponsesBobBobBudBudBillBillNone of them are correct

Question

8. 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)ResponsesBobBobBudBudBillBillNone of them are correct

GPT-4o mini · Answer

Let's solve the equation $8x - 4y = 24$ step by step to determine who made the correct calculations. 1. Start with the equation: $$ 8x - 4y = 24 $$ 2. Subtract $8x$ from both sides: $$ -4y = -8x + 24 $$ 3. Divide both sides by $-4$: $$ y = \frac{-8x}{-4} + \frac{24}{-4} $$ This simplifies to: $$ y = 2x - 6 $$ Now, let's analyze each person's work: - **Bob**: Correctly performed the steps and found $y = 2x - 6$. - **Bill**: Incorrectly calculated a coefficient, arriving at $y = -4x$. - **Bud**: Incorrectly calculated the constant term, arriving at $y = 2x + 24$. Thus, the only correct answer is **Bob**.