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%0A %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%0A %0D%0Ay=7.375%0D%0A%0D%0A=%0D%0A7.375%0D%0A %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%0A %0D%0Ay=118x+6%0D%0A%0D%0A=%0D%0A11%0D%0A8%0D%0A%0D%0A+%0D%0A6%0D%0A %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%0A %0D%0Ay=−11x+6%0D%0A%0D%0A=%0D%0A−%0D%0A11%0D%0A%0D%0A+%0D%0A6%0D%0A %0D%0AWho solved for y correctly?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ABud%0D%0ABud%0D%0A%0D%0ABob%0D%0ABob%0D%0A%0D%0ABill%0D%0ABill%0D%0A%0D%0ANone of them are correct
Bob solved for y correctly.
To change the equation from standard form to slope-intercept form by solving for y, let's go through the steps:
Given equation in standard form: 11x - 8y = -48
1. Start by isolating the y term by subtracting 11x from both sides of the equation:
-8y = -11x - 48
2. Divide the entire equation by -8 to solve for y:
y = (-11/-8)x - 48/-8
Simplifying further, we have:
y = 11/8x + 6
From the given options, Bill's work is correct:
y = 11/8x + 6
So the correct answer is Bill.
To change the equation from standard form to slope-intercept form, we need to isolate y on one side of the equation. Let's solve for y step by step:
Given equation: 11x - 8y = -48
Step 1: Move the term containing x to the other side of the equation.
Subtract 11x from both sides:
-8y = -11x - 48
Step 2: Divide every term by -8 to solve for y.
Divide both sides by -8:
y = (-11x - 48) / -8
Simplifying the expression:
y = 11/8 * x + 6
Now that we have the equation in slope-intercept form (y = mx + b), we can see that the correct solution for y is:
y = 11/8 * x + 6
Therefore, Bill's work is correct. None of the other options provided (Bob or Bud) solved for y correctly.