Asked by tomdaya
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).
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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).
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's break down the calculations step by step.
### Part A
1. **Calculate the rise from (3, 30) to (12, 120)**:
- Rise = \( y_2 - y_1 = 120 - 30 \)
- Rise = \( 90 \)
2. **Calculate the run from (3, 30) to (12, 120)**:
- Run = \( x_2 - x_1 = 12 - 3 \)
- Run = \( 9 \)
3. **Calculate the slope**:
- Slope = \( \frac{\text{rise}}{\text{run}} = \frac{90}{9} \)
- Slope = \( 10 \)
### Part B
1. **Calculate the rise from (0, 0) to (6, 60)**:
- Rise = \( y_2 - y_1 = 60 - 0 \)
- Rise = \( 60 \)
2. **Calculate the run from (0, 0) to (6, 60)**:
- Run = \( x_2 - x_1 = 6 - 0 \)
- Run = \( 6 \)
3. **Calculate the slope**:
- Slope = \( \frac{\text{rise}}{\text{run}} = \frac{60}{6} \)
- Slope = \( 10 \)
### Part C
- 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**: The slope from (0, 0) to (6, 60) is **equal to** the slope from (3, 30) to (12, 120).
### Part A
1. **Calculate the rise from (3, 30) to (12, 120)**:
- Rise = \( y_2 - y_1 = 120 - 30 \)
- Rise = \( 90 \)
2. **Calculate the run from (3, 30) to (12, 120)**:
- Run = \( x_2 - x_1 = 12 - 3 \)
- Run = \( 9 \)
3. **Calculate the slope**:
- Slope = \( \frac{\text{rise}}{\text{run}} = \frac{90}{9} \)
- Slope = \( 10 \)
### Part B
1. **Calculate the rise from (0, 0) to (6, 60)**:
- Rise = \( y_2 - y_1 = 60 - 0 \)
- Rise = \( 60 \)
2. **Calculate the run from (0, 0) to (6, 60)**:
- Run = \( x_2 - x_1 = 6 - 0 \)
- Run = \( 6 \)
3. **Calculate the slope**:
- Slope = \( \frac{\text{rise}}{\text{run}} = \frac{60}{6} \)
- Slope = \( 10 \)
### Part C
- 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**: The slope from (0, 0) to (6, 60) is **equal to** the slope from (3, 30) to (12, 120).
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