10. 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=11/8x+6
Bud's work:
−8y=−11x−48
y=−11x+6
Who solved for y correctly?
(1 point)
Responses
Bud
Bud
Bill
Bill
Bob
Bob
None of them are correct
None of them are correct.
The correct answer is Bill. Bill solved the equation correctly and obtained the slope-intercept form of the equation, which is y = (11/8)x + 6.
To solve the equation in standard form (11x - 8y = -48) for y and convert it to slope-intercept form (y = mx + b), we need to isolate the y variable.
Let's go through each solution and check them one by one:
1. Bob's work:
-8y = -59x
By dividing both sides of the equation by -8, we get:
y = (59/8)x
This is not the correct solution because the slope-intercept form should have a constant term (b), but Bob's solution is missing it.
2. Bill's work:
-8y = -11x - 48
Dividing both sides of the equation by -8, we get:
y = (11/8)x + 6
This is the correct solution because it is in the slope-intercept form (y = mx + b), with the slope (m) being 11/8 and the y-intercept (b) being 6.
3. Bud's work:
-8y = -11x - 48
Dividing both sides of the equation by -8, we get:
y = (11/8)x + 6
This solution is the same as Bill's solution, and therefore, it is also correct.
So, both Bill and Bud solved the equation correctly by converting it to slope-intercept form.