Graph a Linear Equation in Slope-Intercept Form (A) - Free Printable

Let's solve each of the four problems step by step. We'll:

1. Complete the table of values for each equation by substituting the given $ x $-values into the equation to find the corresponding $ y $-values.
2. Plot the points on the coordinate grid.
3. Draw the line through the points.

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1) $ y = x + 3 $

We are given $ x = 0, 1, 2 $. Plug these into the equation:

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

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

Now plot the points:
- (0, 3), (1, 4), (2, 5)

Draw a straight line through them. This line has a slope of 1 and a y-intercept at (0, 3).

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2) $ y = 2x + 3 $

Use $ 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 |

Points: (0, 3), (1, 5), (2, 7)

Plot and draw a straight line. Slope is 2, y-intercept is (0, 3).

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3) $ y = 3x $

Use $ 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 |

Points: (0, 0), (1, 3), (2, 6)

This line passes through the origin with a slope of 3.

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4) $ y = 1 + 2x $

Note: This is the same as $ y = 2x + 1 $

Use $ 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 |

Points: (0, 1), (1, 3), (2, 5)

Slope is 2, y-intercept is (0, 1).

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✔ Summary of Completed Tables:

#### 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 Instructions:

For each problem:
1. Plot the three points from the table on the grid.
2. Draw a straight line through them.
3. Extend the line in both directions with arrows to show it continues.

All these are linear equations, so they form straight lines.

Let me know if you'd like me to generate the actual graph images or help you label them!