I can see this is a worksheet about writing equations in slope-intercept form. Let me verify each answer by working through the problems step by step.
Problem 1: 3x + 4y = 8
- Subtract 3x from both sides: 4y = -3x + 8
- Divide by 4: y = -3/4x + 2 ✓
Problem 2: 9x + 35 = -5y
- Add 5y to both sides and subtract 35: 5y = -9x - 35
- Divide by 5: y = -9/5x - 7 ✓
Problem 3: 2y - 6 = -6x
- Add 6 to both sides: 2y = -6x + 6
- Divide by 2: y = -3x + 3 ✓
Problem 4: -11x - 7y = -56
- Add 11x to both sides: -7y = 11x - 56
- Divide by -7: y = -11/7x + 8 ✓
Problem 5: 5/3y = -(x - 5)
- Simplify right side: 5/3y = -x + 5
- Multiply both sides by 3/5: y = -3/5x + 3 ✓
Problem 6: -2(2x + y) = 28
- Distribute: -4x - 2y = 28
- Add 4x to both sides: -2y = 4x + 28
- Divide by -2: y = -2x - 14 ✓
Problem 7: -14x + y = 7
- Add 14x to both sides: y = 14x + 7 ✓
Problem 8: 12y = (8x - 48)/3
- Divide both sides by 12: y = (8x - 48)/(3 × 12)
- Simplify: y = (8x - 48)/36
- Reduce: y = 2x/9 - 4/3 ✓
Problem 9: 3(x - y)/2 = 9
- Multiply both sides by 2: 3(x - y) = 18
- Divide by 3: x - y = 6
- Subtract x from both sides: -y = -x + 6
- Multiply by -1: y = x - 6 ✓
Problem 10: 2/3x + 4(y - 2) = 0
- Distribute: 2/3x + 4y - 8 = 0
- Subtract 2/3x and add 8: 4y = -2/3x + 8
- Divide by 4: y = -2/12x + 2
- Simplify: y = -1/6x + 2 ✓
All answers on the worksheet are correct!
Final Answer: All 10 answers shown in red on the worksheet are correct. The equations have been properly converted to slope-intercept form (y = mx + b).
Parent Tip: Review the logic above to help your child master the concept of printable slope intercept worksheet.
