Practice worksheet for finding slope and y-intercept from linear equations.

Let's solve each problem step by step.

We are given equations in the slope-intercept form:

$$
y = mx + b
$$

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

So, for each equation, we just need to identify:
- The coefficient of $ x $ → that’s the slope
- The constant term (when $ x = 0 $) → that’s the y-intercept

---

1. $ y = -6x + 3 $

- Slope: $ -6 $
- y-intercept: $ 3 $

✔ Answer: Slope: $-6$, y-intercept: $3$

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2. $ y = \frac{3}{2}x + 3 $

- Slope: $ \frac{3}{2} $
- y-intercept: $ 3 $

✔ Answer: Slope: $ \frac{3}{2} $, y-intercept: $ 3 $

---

3. $ y = 4x + 5 $

- Slope: $ 4 $
- y-intercept: $ 5 $

✔ Answer: Slope: $ 4 $, y-intercept: $ 5 $

---

4. $ y = -2x + 20 $

- Slope: $ -2 $
- y-intercept: $ 20 $

✔ Answer: Slope: $ -2 $, y-intercept: $ 20 $

---

5. $ y = -\frac{2}{3}x - 2 $

- Slope: $ -\frac{2}{3} $
- y-intercept: $ -2 $

✔ Answer: Slope: $ -\frac{2}{3} $, y-intercept: $ -2 $

---

6. $ y = x - 18 $

Note: $ x $ is the same as $ 1x $, so:
- Slope: $ 1 $
- y-intercept: $ -18 $

✔ Answer: Slope: $ 1 $, y-intercept: $ -18 $

---

7. $ y = \frac{5}{3}x - 2 $

- Slope: $ \frac{5}{3} $
- y-intercept: $ -2 $

✔ Answer: Slope: $ \frac{5}{3} $, y-intercept: $ -2 $

---

8. $ y = \frac{4}{5}x - 1 $

- Slope: $ \frac{4}{5} $
- y-intercept: $ -1 $

✔ Answer: Slope: $ \frac{4}{5} $, y-intercept: $ -1 $

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9. $ y = -\frac{8}{3}x + 4 $

- Slope: $ -\frac{8}{3} $
- y-intercept: $ 4 $

✔ Answer: Slope: $ -\frac{8}{3} $, y-intercept: $ 4 $

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10. $ y = -4x + \frac{1}{4} $

- Slope: $ -4 $
- y-intercept: $ \frac{1}{4} $

✔ Answer: Slope: $ -4 $, y-intercept: $ \frac{1}{4} $

---

✔ Final Answers Summary:

| Problem | Slope | y-intercept |
|--------|-------|-------------|
| 1 | -6 | 3 |
| 2 | $ \frac{3}{2} $ | 3 |
| 3 | 4 | 5 |
| 4 | -2 | 20 |
| 5 | $ -\frac{2}{3} $ | -2 |
| 6 | 1 | -18 |
| 7 | $ \frac{5}{3} $ | -2 |
| 8 | $ \frac{4}{5} $ | -1 |
| 9 | $ -\frac{8}{3} $ | 4 |
| 10 | -4 | $ \frac{1}{4} $ |

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