In parallelogram ABCD, slope of AB = -2, slope of BC = `3/(5)`. State the slope of
AD

Answer

To find the slope of line segment AD in parallelogram ABCD, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Properties of a Parallelogram**: In a parallelogram, opposite sides are parallel. Therefore, if AB is parallel to CD and AD is parallel to BC, their slopes will be equal.

2. **Identify Given Slopes**: We are given:
- Slope of AB = -2
- Slope of BC = 3/5

3. **Determine the Slope of AD**: Since AD is parallel to BC, the slope of AD will be equal to the slope of BC. Thus:
- Slope of AD = Slope of BC = 3/5

4. **Conclusion**: Therefore, the slope of line segment AD is 3/5.

### Final Answer:
The slope of AD is \( \frac{3}{5} \).

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