Change the equation from standard form to slope-intercept form by solving for y. 11x−8y=−48 Bob's work: −8y=−59x y=7.375 Bill's work: −8y=−11x−48 y=118x+6 Bud's work: −8y=−11x−48 y=−11x+6 Who solved for y correctly? (1 point) Responses None of them are correct None of them are correct Bob Bob Bill Bill Bud
The correct equation in slope-intercept form is y = (11/8)x + 6.
Bud solved it incorrectly as y = -11x + 6, so the answer is:
Bill solved for y correctly.
Bill solved for y correctly.
To change the equation from standard form to slope-intercept form (y = mx + b) by solving for y, we need to isolate y on one side of the equation.
Let's go through each of the options to see if they solved for y correctly:
Bob's work: -8y = -59x
To solve for y, we need to divide both sides of the equation by -8. However, Bob stopped at this step and did not divide by -8, so his solution is incorrect.
Bill's work: -8y = -11x - 48
To solve for y, we divide both sides of the equation by -8:
y = (-11/-8)x - 48/-8
Simplifying this further, we get:
y = (11/8)x + 6
Bill correctly solved for y, so his solution is correct.
Bud's work: -8y = -11x - 48
To solve for y, we divide both sides of the equation by -8:
y = (-11/-8)x - 48/-8
Simplifying this further, we get:
y = (11/8)x + 6
Bud made a mistake while dividing -48 by -8. The correct division would result in +6, not -6. Therefore, Bud's solution is incorrect.
Based on the analysis, Bill correctly solved for y, so the correct answer is Bill.