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
None of them are correct.
are you sure
Yes, I am sure.
Bob: Bob changed the equation correctly. He subtracted 8x from both sides and then divided by -4 to solve for y. The correct equation in slope-intercept form is y = 2x - 6.
Bud is the one who changed the equation correctly.
To change the equation from standard form to slope-intercept form (y = mx + b), you need to solve for y by isolating it on one side of the equation.
Let's go through each step:
1. Bob's attempt:
Subtract 8x from both sides: -4y = -8x + 24
Divide by -4 on both sides: y = 2x - 6
Bob's equation is correct.
2. Bill's attempt:
Subtract 8x from both sides: -4y = 16x
Divide by -4 on both sides: y = -4x
Bill's equation is not correct because he forgot to subtract 8x from the right side of the equation.
3. Bud's attempt:
Subtract 8x from both sides: -4y = -8x + 24
Divide by -4 on both sides: y = 2x + 6
Bud's equation is not correct because he made a mistake while dividing the right side of the equation by -4. It should be 6 instead of 24.
Therefore, the correct answer is Bob.