change the equation from standard from to slope-intercept from 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 y correctly?
Both Bill and Bud solved for y correctly.
Bill's work is correct. The equation -8y = -11x - 48 can be solved for y by dividing both sides by -8.
This results in y = (11/8)x + 6, which is the slope-intercept form of the equation.
To determine who solved for y correctly and transformed the equation into slope-intercept form, let's analyze each solution:
1. Bob's work:
-8y = -59x
Solving for y, divide both sides of the equation by -8:
y = (-59x) / (-8)
y = 7.375
2. Bill's work:
-8y = -11x - 48
Solving for y, divide both sides of the equation by -8:
y = (-11x - 48) / (-8)
y = (11/8)x + 6
3. Bud's work:
-8y = -11x - 48
Bud did not correctly solve for y. To isolate y, divide both sides of the equation by -8:
y = (-11x - 48) / (-8)
y = 11/8x + 6
Comparing all three solutions, it is evident that both Bill and Bud correctly transformed the equation into slope-intercept form. However, Bud's solution shows a negative sign in front of the x-term, while Bill's solution has a positive sign. Therefore, Bill's work is the correct solution in slope-intercept form: y = (11/8)x + 6.