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
To change the equation from standard form to slope-intercept form by solving for y, we need to isolate y on one side of the equation.
Bob's work:
-8y = -59x
y = 7.375
Bill's work:
-8y = -11x - 48
To isolate y, we divide both sides by -8:
y = (11/8)x + 6
Bud's work:
-8y = -11x - 48
To isolate y, we divide both sides by -8:
y = (11/8)x + 6
So both Bill and Bud got the correct slope-intercept form of the equation: y = (11/8)x + 6. However, Bob's work is incorrect as he did not divide -59x by -8 to isolate y.
To change the equation from standard form to slope-intercept form, we need to solve for y.
In Bob's work, he divided both sides by -8. However, it seems that there was an error in his calculation. We can see that -8y = -59x, not -8y = -11x - 48. Thus, Bob's work is incorrect.
In Bill's work, he correctly divided both sides by -8 to isolate y. The equation becomes -8y = -11x - 48. Then, he simplified it to y = 11/8x + 6. This is the correct slope-intercept form.
In Bud's work, he also divided both sides by -8 correctly. The equation becomes -8y = -11x - 48. However, he made a mistake in the simplification. The correct simplification would be y = 11/8x + 6.
So, the correct slope-intercept form of the equation is y = 11/8x + 6.
To change an equation from standard form to slope-intercept form, you need to solve for y. The slope-intercept form of an equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Let's go through each person's work to see if they correctly converted the equation:
1. Bob's work:
-8y = -59x
To solve for y, you need to divide both sides of the equation by -8:
-8y / -8 = -59x / -8
y = 59/8x
Bob did not calculate the value of y correctly.
2. Bill's work:
-8y = -11x - 48
To solve for y, you need to divide both sides of the equation by -8:
-8y / -8 = (-11x - 48) / -8
y = 11/8x + 6
Bill correctly solved for y by dividing both sides of the equation by -8.
3. Bud's work:
-8y = -11x - 48
To solve for y, you need to divide both sides of the equation by -8:
-8y / -8 = (-11x - 48) / -8
y = 11/8x - 6
Bud made a sign error when dividing both sides of the equation by -8. The value of -48 divided by -8 is positive 6.
Therefore, Bill's work correctly converted the equation from standard form to slope-intercept form. The equation is y = 11/8x + 6.