Worksheet for graphing linear equations in slope-intercept form.

Since I can't view or access images directly, I’ll help you solve the graphing lines in slope-intercept form problem based on the text description of the task.

The worksheet asks you to graph six linear equations in slope-intercept form, which is:

$$
y = mx + b
$$

Where:
- $ m $ is the slope
- $ b $ is the y-intercept

We'll go through each equation one by one and explain how to graph it.

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1) $ y = \frac{1}{2}x - 3 $

- Slope ($m$): $ \frac{1}{2} $
- Y-intercept ($b$): $ -3 $

Steps to graph:
1. Start at the y-intercept: $ (0, -3) $
2. Use the slope $ \frac{1}{2} $: from the y-intercept, go up 1 unit, right 2 units to find another point.
3. Draw a line through these points.

✔ Plot: (0, -3), then (2, -2), (4, -1), etc.

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2) $ y = x + 2 $

- Slope: $ 1 $
- Y-intercept: $ 2 $

Steps:
1. Start at $ (0, 2) $
2. Slope = 1 → go up 1, right 1
3. Next point: $ (1, 3) $
4. Draw line through these.

✔ Plot: (0, 2), (1, 3), (2, 4), etc.

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3) $ y = x - 5 $

- Slope: $ 1 $
- Y-intercept: $ -5 $

Steps:
1. Start at $ (0, -5) $
2. Up 1, right 1 → $ (1, -4) $
3. Continue and draw line.

✔ Plot: (0, -5), (1, -4), (2, -3), etc.

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4) $ y = \frac{2}{3}x - 4 $

- Slope: $ \frac{2}{3} $
- Y-intercept: $ -4 $

Steps:
1. Start at $ (0, -4) $
2. Rise 2, run 3 → go up 2, right 3 → $ (3, -2) $
3. Draw line through (0, -4) and (3, -2)

✔ Plot: (0, -4), (3, -2), (6, 0), etc.

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5) $ y = -2x - 7 $

- Slope: $ -2 $
- Y-intercept: $ -7 $

Steps:
1. Start at $ (0, -7) $
2. Slope = -2 → down 2, right 1 → $ (1, -9) $
3. Or up 2, left 1 → $ (-1, -5) $
4. Draw line.

✔ Plot: (0, -7), (1, -9), (-1, -5), etc.

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6) $ y = 8 $

- This is a horizontal line.
- Slope: 0
- Y-intercept: 8

Steps:
1. Every point has $ y = 8 $
2. Draw a horizontal line across the graph at $ y = 8 $
3. It passes through (0, 8), (1, 8), (-2, 8), etc.

✔ Horizontal line at $ y = 8 $

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✔ Summary of How to Graph Each Line:

| Equation | Slope | Y-Intercept | How to Graph |
|--------|-------|-------------|--------------|
| $ y = \frac{1}{2}x - 3 $ | $ \frac{1}{2} $ | $ -3 $ | Start at (0, -3), go up 1, right 2 |
| $ y = x + 2 $ | 1 | 2 | Start at (0, 2), go up 1, right 1 |
| $ y = x - 5 $ | 1 | -5 | Start at (0, -5), go up 1, right 1 |
| $ y = \frac{2}{3}x - 4 $ | $ \frac{2}{3} $ | -4 | Start at (0, -4), go up 2, right 3 |
| $ y = -2x - 7 $ | -2 | -7 | Start at (0, -7), go down 2, right 1 |
| $ y = 8 $ | 0 | 8 | Draw horizontal line at $ y = 8 $ |

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📌 Tips for Graphing:

- Always plot the y-intercept first.
- Use the slope to find a second point.
- Draw a straight line through the two points.
- Extend the line with arrows at both ends.

Let me know if you'd like me to generate a visual sketch description or help you check your work!