Question

3 of 33 of 3 Items













Question 1
(6 points)
Part A. Consider the points (3, 30) and (12, 120).

The rise from (3, 30) to (12,120) =
. Enter your answer as a whole number.

The run from (3, 30) to (12, 120) =
. Enter your answer as a whole number.

The slope of the line from (3, 30) to (12, 120) = riserun
=
. Remember to simplify the slope.

Part B. Consider the points (0, 0) and (6, 60).

The rise from (0, 0) to (6, 60) =
. Enter your answer as a whole number.

The run from (0, 0) to (6, 60) =
. Enter your answer as a whole number.

The slope of the line from (0, 0) to (6, 60) = riserun
=
. Remember to simplify the slope.

Question 2
Part C. Compare the slopes from Part A and Part B.(1 point)
The slope from (0,0) to (6, 60) is
to the slope from (3, 30) to (12, 120).

Answer 1

Let's solve the questions step by step.

### Question 1

**Part A: Evaluate the points (3, 30) and (12, 120)**

1. **Calculate the rise:**
- Rise = \( y_2 - y_1 = 120 - 30 = 90 \)

2. **Calculate the run:**
- Run = \( x_2 - x_1 = 12 - 3 = 9 \)

3. **Calculate the slope:**
- Slope = Rise / Run = \( \frac{90}{9} = 10 \)

**To summarize:**
- The rise from (3, 30) to (12, 120) = **90**
- The run from (3, 30) to (12, 120) = **9**
- The slope of the line from (3, 30) to (12, 120) = **10**

---

**Part B: Evaluate the points (0, 0) and (6, 60)**

1. **Calculate the rise:**
- Rise = \( y_2 - y_1 = 60 - 0 = 60 \)

2. **Calculate the run:**
- Run = \( x_2 - x_1 = 6 - 0 = 6 \)

3. **Calculate the slope:**
- Slope = Rise / Run = \( \frac{60}{6} = 10 \)

**To summarize:**
- The rise from (0, 0) to (6, 60) = **60**
- The run from (0, 0) to (6, 60) = **6**
- The slope of the line from (0, 0) to (6, 60) = **10**

### Question 2

**Part C: Compare the slopes from Part A and Part B.**

- The slope from (0, 0) to (6, 60) is **equal** to the slope from (3, 30) to (12, 120).

So for the comparison:
- The slope from (0, 0) to (6, 60) is **equal** to the slope from (3, 30) to (12, 120).