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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) = 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).

1 answer

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).