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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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1 answer

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).