10. Change the equation from standard form to slope-intercept form by solving for y.%0D%0A%0D%0A11x−8y=−48%0D%0A11%0D%0A%0D%0A−%0D%0A8%0D%0A%0D%0A=%0D%0A−%0D%0A48%0D%0ABob's work:%0D%0A%0D%0A−8y=−59x%0D%0A−%0D%0A8%0D%0A%0D%0A=%0D%0A−%0D%0A59%0D%0A%0D%0Ay=7.375%0D%0A%0D%0A=%0D%0A7.375%0D%0ABill's work:%0D%0A%0D%0A−8y=−11x−48%0D%0A−%0D%0A8%0D%0A%0D%0A=%0D%0A−%0D%0A11%0D%0A%0D%0A−%0D%0A48%0D%0Ay=118x+6%0D%0A%0D%0A=%0D%0A11%0D%0A8%0D%0A%0D%0A+%0D%0A6%0D%0ABud's work:%0D%0A%0D%0A−8y=−11x−48%0D%0A−%0D%0A8%0D%0A%0D%0A=%0D%0A−%0D%0A11%0D%0A%0D%0A−%0D%0A48%0D%0Ay=−11x+6%0D%0A%0D%0A=%0D%0A−%0D%0A11%0D%0A%0D%0A+%0D%0A6%0D%0AWho solved for y correctly?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ABob%0D%0ABob%0D%0A%0D%0ANone of them are correct%0D%0ANone of them are correct%0D%0A%0D%0ABud%0D%0ABud%0D%0A%0D%0ABill
Bob solved for y correctly.
how do yk
To solve for y in the equation 11x - 8y = -48 and write it in slope-intercept form (y = mx + b), follow these steps:
1. Start with the equation: 11x - 8y = -48.
2. Move the 11x term to the other side by subtracting 11x from both sides: -8y = -11x - 48.
3. Divide every term by -8 to isolate y: y = (-11x - 48) / -8.
4. Simplify the right side of the equation: y = (11/8)x + 6.
So, the slope-intercept form of the equation 11x - 8y = -48 is y = (11/8)x + 6.
so who would it be
Based on the given work, it appears that Bill solved for y correctly as his result aligns with the correct slope-intercept form: y = 11/8x + 6.
From the given equation:
11x - 8y = -48
To change it to slope-intercept form, we need to solve for y.
Let's go through the steps for each person's work:
Bob's work:
-8y = -59x
y = (7.375) * incorrect
Bill's work:
-8y = -11x - 48
y = (11/8)x + 6
Bud's work:
-8y = -11x - 48
y = (-11/8)x + 6
Out of the three, only Bill solved for y correctly:
Bill
So, the correct answer is Bill.
To solve for y and change the equation from standard form to slope-intercept form, we can follow these steps:
1. Start with the given equation: 11x - 8y = -48.
2. We want to isolate y on one side of the equation, so let's begin by getting rid of the coefficient of y (-8). Divide every term by -8:
(-8y) / -8 = (-48) / -8
y = (48 / 8) - (11x / -8)
3. Simplify the terms:
y = -6 + (11/8)x
The equation y = -6 + (11/8)x is in the slope-intercept form, where the coefficient of x is the slope (11/8) and -6 is the y-intercept.
Now, let's compare the solutions given by Bob, Bill, and Bud:
- Bob's solution: y = 7.375
- Bill's solution: y = 118x + 6
- Bud's solution: y = -11x + 6
None of their solutions match the correct slope-intercept form of y = -6 + (11/8)x. Therefore, none of them solved for y correctly.