Question

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) = rise divided by run
=
. 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
less than
to the slope from (3, 30) to (12, 120).

Answer 1

Let's calculate step by step for each part.

### Part A
1. **Finding the rise** from (3, 30) to (12, 120):
\[
\text{Rise} = y_2 - y_1 = 120 - 30 = 90
\]

2. **Finding the run** from (3, 30) to (12, 120):
\[
\text{Run} = x_2 - x_1 = 12 - 3 = 9
\]

3. **Finding the slope**:
\[
\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{90}{9} = 10
\]

### Part B
1. **Finding the rise** from (0, 0) to (6, 60):
\[
\text{Rise} = y_2 - y_1 = 60 - 0 = 60
\]

2. **Finding the run** from (0, 0) to (6, 60):
\[
\text{Run} = x_2 - x_1 = 6 - 0 = 6
\]

3. **Finding the slope**:
\[
\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{60}{6} = 10
\]

### Part C
Now we compare the slopes:
- The slope from (0, 0) to (6, 60) is **equal** to the slope from (3, 30) to (12, 120).

### Summary of Answers
- Part A:
- Rise: 90
- Run: 9
- Slope: 10

- Part B:
- Rise: 60
- Run: 6
- Slope: 10

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