Graphing Linear Equations - MathsFaculty - Free Printable

You're given four linear equations and asked to:

1. Complete a table of values for each equation using the x-values: 0, 1, 2.
2. Graph the line on the provided coordinate grid.

Let’s solve each one step by step.

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Problem 1: y = x + 3

We plug in x = 0, 1, 2 into the equation.

- When x = 0 → y = 0 + 3 = 3
- When x = 1 → y = 1 + 3 = 4
- When x = 2 → y = 2 + 3 = 5

✔ Table:
| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 3 | 4 | 5 |

Graphing: Plot points (0,3), (1,4), (2,5). Connect them with a straight line.

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Problem 2: y = 2x + 3

Plug in x = 0, 1, 2.

- x = 0 → y = 2(0) + 3 = 3
- x = 1 → y = 2(1) + 3 = 5
- x = 2 → y = 2(2) + 3 = 7

✔ Table:
| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 3 | 5 | 7 |

Graphing: Plot (0,3), (1,5), (2,7). Draw a straight line through them.

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Problem 3: y = 3x

Plug in x = 0, 1, 2.

- x = 0 → y = 3(0) = 0
- x = 1 → y = 3(1) = 3
- x = 2 → y = 3(2) = 6

✔ Table:
| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 0 | 3 | 6 |

Graphing: Plot (0,0), (1,3), (2,6). Draw a straight line.

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Problem 4: y = 1 + 2x *(same as y = 2x + 1)*

Plug in x = 0, 1, 2.

- x = 0 → y = 1 + 2(0) = 1
- x = 1 → y = 1 + 2(1) = 3
- x = 2 → y = 1 + 2(2) = 5

✔ Table:
| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 1 | 3 | 5 |

Graphing: Plot (0,1), (1,3), (2,5). Draw a straight line.

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## ✔ Final Answer Summary:

1) y = x + 3

| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 3 | 4 | 5 |

2) y = 2x + 3

| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 3 | 5 | 7 |

3) y = 3x

| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 0 | 3 | 6 |

4) y = 1 + 2x

| x | 0 | 1 | 2 |
|---|---|---|---|
| y | 1 | 3 | 5 |

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## 📈 Graphing Tips:

- Each graph is a straight line because these are all linear equations.
- Use the points you calculated to plot on the grid.
- Make sure your lines extend beyond the plotted points — they go infinitely in both directions.
- Label each line if needed (e.g., “y = x + 3”) to avoid confusion.

You’re done! Just fill in the tables and draw the lines on the grids. Let me know if you want help plotting them visually too!