Let’s solve each problem step by step.
To find the
x-intercept, set y = 0 and solve for x.
To find the
y-intercept, set x = 0 and solve for y.
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1. 4y = 3x - 2
- x-intercept: Set y = 0 → 0 = 3x - 2 → 3x = 2 → x = 2/3
- y-intercept: Set x = 0 → 4y = -2 → y = -2/4 = -1/2
→ x-int: (2/3, 0), y-int: (0, -1/2)
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2. 5y = x + 6
- x-intercept: Set y = 0 → 0 = x + 6 → x = -6
- y-intercept: Set x = 0 → 5y = 6 → y = 6/5
→ x-int: (-6, 0), y-int: (0, 6/5)
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3. y = 7x + 3
- x-intercept: Set y = 0 → 0 = 7x + 3 → 7x = -3 → x = -3/7
- y-intercept: Set x = 0 → y = 3
→ x-int: (-3/7, 0), y-int: (0, 3)
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4. 8y = 2x + 10
- x-intercept: Set y = 0 → 0 = 2x + 10 → 2x = -10 → x = -5
- y-intercept: Set x = 0 → 8y = 10 → y = 10/8 = 5/4
→ x-int: (-5, 0), y-int: (0, 5/4)
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5. 5y = 7x - 3
- x-intercept: Set y = 0 → 0 = 7x - 3 → 7x = 3 → x = 3/7
- y-intercept: Set x = 0 → 5y = -3 → y = -3/5
→ x-int: (3/7, 0), y-int: (0, -3/5)
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6. 9y = 4x - 6
- x-intercept: Set y = 0 → 0 = 4x -
Parent Tip: Review the logic above to help your child master the concept of finding intercepts worksheet.