Math maze activity converting equations from standard form to slope-intercept form.

You’re working on a “Standard Form → Slope-Intercept Form Maze” — the goal is to start at the “Start” box and follow the correct path through equations by converting each standard form equation (Ax + By = C) into slope-intercept form (y = mx + b), matching the correct conversion at each step until you reach “Finish.”

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## 🔍 Step-by-step Strategy:

1. Start at the top-left box: `2x + 3y = 6`
2. Convert it to slope-intercept form: solve for y.
3. Match your result to one of the two arrows leaving that box.
4. Follow that arrow to the next box, repeat the process.
5. Continue until you reach “Finish”.

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## ✔ Let’s Solve the Maze Step by Step

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🟢 START: `2x + 3y = 6`

Solve for y:

```
2x + 3y = 6
→ 3y = -2x + 6
→ y = (-2/3)x + 2
```

✔ So the correct path is: `y = -2/3 x + 2`

➡️ Follow that arrow to the next box: `6x - 2y = 3`

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➡️ Box: `6x - 2y = 3`

Solve for y:

```
6x - 2y = 3
→ -2y = -6x + 3
→ y = 3x - 3/2
```

✔ Correct path: `y = 3x - 3/2`

➡️ Follow to: `3x + 2y = 6`

---

➡️ Box: `3x + 2y = 6`

Solve for y:

```
3x + 2y = 6
→ 2y = -3x + 6
→ y = (-3/2)x + 3
```

✔ Correct path: `y = -3/2 x + 3`

➡️ Follow to: `3x - 6y = -2`

---

➡️ Box: `3x - 6y = -2`

Solve for y:

```
3x - 6y = -2
→ -6y = -3x - 2
→ y = (1/2)x + 1/3
```

✔ Correct path: `y = 1/2 x + 1/3`

➡️ Follow to: `2x - 6y = -3`

---

➡️ Box: `2x - 6y = -3`

Solve for y:

```
2x - 6y = -3
→ -6y = -2x - 3
→ y = (1/3)x + 1/2
```

✔ Correct path: `y = 1/3 x + 1/2`

➡️ Follow to: `6x + 2y = 3`

---

➡️ Box: `6x + 2y = 3`

Solve for y:

```
6x + 2y = 3
→ 2y = -6x + 3
→ y = -3x + 3/2
```

✔ Correct path: `y = -3x + 3/2`

➡️ Follow to: `2x + 6y = 3`

---

➡️ Box: `2x + 6y = 3`

Solve for y:

```
2x + 6y = 3
→ 6y = -2x + 3
→ y = (-1/3)x + 1/2
```

✔ Correct path: `y = -1/3 x + 1/2`

➡️ Follow to: `3x - 2y = -6`

---

➡️ Box: `3x - 2y = -6`

Solve for y:

```
3x - 2y = -6
→ -2y = -3x - 6
→ y = (3/2)x + 3
```

✔ Correct path: `y = 3/2 x + 3`

➡️ Follow to: `2x - 3y = 6`

---

➡️ Box: `2x - 3y = 6`

Solve for y:

```
2x - 3y = 6
→ -3y = -2x + 6
→ y = (2/3)x - 2
```

✔ Correct path: `y = 2/3 x - 2`

➡️ Follow to: `6x + 3y = 2`

---

➡️ Box: `6x + 3y = 2`

Solve for y:

```
6x + 3y = 2
→ 3y = -6x + 2
→ y = -2x + 2/3
```

✔ Correct path: `y = -2x + 2/3`

➡️ Follow to: `3x + 6y = -2`

---

➡️ Box: `3x + 6y = -2`

Solve for y:

```
3x + 6y = -2
→ 6y = -3x - 2
→ y = (-1/2)x - 1/3
```

✔ Correct path: `y = -1/2 x - 1/3`

➡️ Follow to: `6x - 3y = 2`

---

➡️ Box: `6x - 3y = 2`

Solve for y:

```
6x - 3y = 2
→ -3y = -6x + 2
→ y = 2x - 2/3
```

✔ Correct path: `y = 2x - 2/3`

➡️ Follow to: FINISH

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## 🎉 SUCCESS! You’ve reached the Finish!

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## ✔ Final Path Summary (Equation → Conversion):

1. `2x + 3y = 6` → `y = -2/3 x + 2`
2. `6x - 2y = 3` → `y = 3x - 3/2`
3. `3x + 2y = 6` → `y = -3/2 x + 3`
4. `3x - 6y = -2` → `y = 1/2 x + 1/3`
5. `2x - 6y = -3` → `y = 1/3 x + 1/2`
6. `6x + 2y = 3` → `y = -3x + 3/2`
7. `2x + 6y = 3` → `y = -1/3 x + 1/2`
8. `3x - 2y = -6` → `y = 3/2 x + 3`
9. `2x - 3y = 6` → `y = 2/3 x - 2`
10. `6x + 3y = 2` → `y = -2x + 2/3`
11. `3x + 6y = -2` → `y = -1/2 x - 1/3`
12. `6x - 3y = 2` → `y = 2x - 2/3`
13. FINISH

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## 💡 Key Takeaway:

This maze reinforces the skill of converting linear equations from standard form to slope-intercept form, which is essential for graphing and understanding slope and y-intercept.

Always isolate y by:
- Moving all other terms to the other side
- Dividing every term by the coefficient of y

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✔ You’ve successfully solved the maze!
Let me know if you’d like a visual diagram or printable version of the path.