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Question 1

(6 points)
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 solve the problems step by step.

Question 1

Part A.

Consider the points (3, 30) and (12, 120).

  1. The rise from (3, 30) to (12, 120): \[ \text{Rise} = y_2 - y_1 = 120 - 30 = 90 \]

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

  3. The slope of the line from (3, 30) to (12, 120): \[ \text{Slope} = \frac{\text{rise}}{\text{run}} = \frac{90}{9} = 10 \]

Answers for Part A:

  • The rise = 90
  • The run = 9
  • The slope = 10

Part B.

Consider the points (0, 0) and (6, 60).

  1. The rise from (0, 0) to (6, 60): \[ \text{Rise} = y_2 - y_1 = 60 - 0 = 60 \]

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

  3. The slope of the line from (0, 0) to (6, 60): \[ \text{Slope} = \frac{\text{rise}}{\text{run}} = \frac{60}{6} = 10 \]

Answers for Part B:

  • The rise = 60
  • The run = 6
  • The slope = 10

Question 2

Part C.

Now, let's compare the slopes from Part A and Part B.

  • The slope from (0,0) to (6, 60) is equal to the slope from (3, 30) to (12, 120).

Final Answer for Part C:

The slope from (0, 0) to (6, 60) is equal to the slope from (3, 30) to (12, 120).