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Find the x and y intercepts of the line in this math worksheet.

Math worksheet titled "Find the Intercepts - Worksheet 1" with 10 linear equations to find x and y intercepts, including equations like 4y = 3x - 2 and 5y = x + 6, with space for name and date at the top and a palm tree logo at the bottom.

Math worksheet titled "Find the Intercepts - Worksheet 1" with 10 linear equations to find x and y intercepts, including equations like 4y = 3x - 2 and 5y = x + 6, with space for name and date at the top and a palm tree logo at the bottom.

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Show Answer Key & Explanations Step-by-step solution for: Finding x and y intercepts worksheet: Fill out & sign online | DocHub
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.
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