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).
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Answers
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).