Change the equation from standard form to slope-intercept form by solving for y.

Question

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

Bud
Bud

Bill
Bill

Bob
Bob

None of them are correct

Answer 1

Let's solve the equation \(8x - 4y = 24\) step by step to determine the correct slope-intercept form (\(y = mx + b\)).

Starting with the equation:

1. Subtract \(8x\) from both sides: \[ -4y = -8x + 24 \]

2. Divide by \(-4\): \[ y = \frac{-8}{-4}x + \frac{24}{-4} \] \[ y = 2x - 6 \]

So, the correct slope-intercept form of the equation is: \[ y = 2x - 6 \]

Now let's evaluate the responses:

• Bob: \[ y = 2x - 6 \] (Correct)

• Bill: \[ y = -4x \] (Incorrect)

• Bud: \[ y = 2x + 24 \] (Incorrect)

Thus, the correct answer is Bob.