Worksheet for practicing graphing linear equations using intercepts.

Let's solve each problem by identifying the x-intercept and y-intercept of each line on the graph.

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🔹 Definitions:

- x-intercept: The point where the line crosses the x-axis (where $ y = 0 $).
- y-intercept: The point where the line crosses the y-axis (where $ x = 0 $).

We'll read these values directly from the graphs.

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1) First Graph (Top Left)

- The line crosses the x-axis at $ x = -3 $ → x-intercept = -3
- The line crosses the y-axis at $ y = 2 $ → y-intercept = 2

✔ Answer:
- x-intercept = -3
- y-intercept = 2

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2) Second Graph (Middle Left)

- Crosses x-axis at $ x = -2 $ → x-intercept = -2
- Crosses y-axis at $ y = 4 $ → y-intercept = 4

✔ Answer:
- x-intercept = -2
- y-intercept = 4

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3) Third Graph (Bottom Left)

- Crosses x-axis at $ x = -1 $ → x-intercept = -1
- Crosses y-axis at $ y = 3 $ → y-intercept = 3

✔ Answer:
- x-intercept = -1
- y-intercept = 3

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4) Fourth Graph (Top Right)

- Crosses x-axis at $ x = -3 $ → x-intercept = -3
- Crosses y-axis at $ y = 1 $ → y-intercept = 1

✔ Answer:
- x-intercept = -3
- y-intercept = 1

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5) Fifth Graph (Middle Right)

- Crosses x-axis at $ x = 4 $ → x-intercept = 4
- Crosses y-axis at $ y = -3 $ → y-intercept = -3

✔ Answer:
- x-intercept = 4
- y-intercept = -3

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6) Sixth Graph (Bottom Right)

- Crosses x-axis at $ x = 4 $ → x-intercept = 4
- Crosses y-axis at $ y = -2 $ → y-intercept = -2

✔ Answer:
- x-intercept = 4
- y-intercept = -2

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✔ Final Answers:

| Problem | x-intercept | y-intercept |
|--------|-------------|-------------|
| 1) | -3 | 2 |
| 2) | -2 | 4 |
| 3) | -1 | 3 |
| 4) | -3 | 1 |
| 5) | 4 | -3 |
| 6) | 4 | -2 |

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📝 Explanation:

To find intercepts:
- Look for where the line crosses the x-axis → that’s the x-intercept (write only the x-value).
- Look for where the line crosses the y-axis → that’s the y-intercept (write only the y-value).

These are key points used in graphing linear equations, especially when using the intercept method.

Let me know if you'd like to write the equation of any of these lines!