2. Which equation represents a line that is parallel to the line $$ y=\frac{3}{4} x+7 $$ ? $$ y=-\frac{4}{3} x+7 $$ $$ y=\frac{4}{3} x-2 $$ $$ y=-\frac{3}{4} x+7 $$ $$ y=\frac{3}{4} x-9 $$

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To determine which equation represents a line parallel to the line $$ y = \frac{3}{4}x + 7 $$, we need to focus on the **slope** of the line.

**Parallel lines** have the **same slope** but different y-intercepts.

1. **Original Line:**
   $$
   y = \frac{3}{4}x + 7 \quad \text{(Slope } m = \frac{3}{4})
   $$

2. **Options:**
   - $$ y = -\frac{4}{3}x + 7 $$ **Slope:** $$-\frac{4}{3}$$
   - $$ y = \frac{4}{3}x - 2 $$ **Slope:** $$\frac{4}{3}$$
   - $$ y = -\frac{3}{4}x + 7 $$ **Slope:** $$-\frac{3}{4}$$
   - $$ y = \frac{3}{4}x - 9 $$ **Slope:** $$\frac{3}{4}$$

3. **Comparison:**
   - Only the last option, $$ y = \frac{3}{4}x - 9 $$, has the **same slope** ($$\frac{3}{4}$$) as the original line.

**Conclusion:**
The equation $$ y = \frac{3}{4}x - 9 $$ represents a line that is parallel to $$ y = \frac{3}{4}x + 7 $$.

**Answer:** $$ y = \frac{3}{4} x - 9 $$
The equation $$ y = \frac{3}{4} x - 9 $$ is parallel to $$ y = \frac{3}{4} x + 7 $$.

2. Which equation represents a line that is parallel to the line \( y=\frac{3}{4} x+7 \) ? \( y=-\frac{4}{3} x+7 \) \( y=\frac{4}{3} x-2 \) \( y=-\frac{3}{4} x+7 \) \( y=\frac{3}{4} x-9 \)

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