Math activity worksheet for identifying slope and y-intercept of linear equations.

It looks like you've uploaded a worksheet titled "Stained Glass Slope-Graph" from Activity After Math, where the goal is to identify the slope (m) and y-intercept (b) of various linear equations, then graph them on coordinate paper to create a "stained glass" effect.

Let’s go through the visible equations in your image and determine their slope (m) and y-intercept (b). We'll use the standard form of a line:
$$
y = mx + b
$$
where:
- $ m $ is the slope,
- $ b $ is the y-intercept.

---

Let's solve each one:

#### 1. $ x = 0 $
This is a vertical line passing through the y-axis at $ x = 0 $.
- Slope (m): Undefined (vertical lines have no defined slope)
- Y-intercept (b): Not applicable (since it's vertical), but it passes through $ (0, y) $ for all $ y $
> However, since this is not in slope-intercept form, we note:
> - $ m: \text{undefined} $
> - $ b: \text{N/A} $

---

#### 2. $ x = -15 $
Another vertical line at $ x = -15 $
- Slope (m): Undefined
- Y-intercept (b): N/A

---

#### 3. $ y = \frac{10}{3}x + 19 $
This is already in slope-intercept form.
- Slope (m): $ \frac{10}{3} $
- Y-intercept (b): $ 19 $

---

#### 4. $ y = x $
This is equivalent to $ y = 1x + 0 $
- Slope (m): $ 1 $
- Y-intercept (b): $ 0 $

---

#### 5. $ y = 9 $
This is a horizontal line at $ y = 9 $
- Slope (m): $ 0 $ (horizontal lines have zero slope)
- Y-intercept (b): $ 9 $

---

#### 6. $ y = \frac{5}{7}x + 2 $
Already in slope-intercept form.
- Slope (m): $ \frac{5}{7} $
- Y-intercept (b): $ 2 $

---

Now let’s fill in the table accordingly:

| # | Equation | m | b |
|---|----------------------|-----------|-------|
| 1 | $ x = 0 $ | undefined | N/A |
| 2 | $ x = -15 $ | undefined | N/A |
| 3 | $ y = \frac{10}{3}x + 19 $ | $ \frac{10}{3} $ | 19 |
| 4 | $ y = x $ | 1 | 0 |
| 5 | $ y = 9 $ | 0 | 9 |
| 6 | $ y = \frac{5}{7}x + 2 $ | $ \frac{5}{7} $ | 2 |

---

Next Steps (for Graphing):

Once you’ve filled in the table, you’ll:
1. Graph each line on the same coordinate plane.
2. For vertical lines ($ x = \text{constant} $), draw a straight vertical line at that x-value.
3. For horizontal lines ($ y = \text{constant} $), draw a horizontal line.
4. For lines in $ y = mx + b $ form:
- Start at the y-intercept $ (0, b) $
- Use the slope $ m $ to find another point (rise over run)
5. Darken the lines after graphing.
6. Color the sections between the lines to create a stained-glass effect.

---

Tips:

- Use graph paper with a grid (as shown).
- Label axes and scale appropriately (e.g., 1 unit per square).
- Be careful with fractions — plot accurately.

Would you like help graphing these or completing the rest of the worksheet? I can guide you step by step!