Activity: Investigating Lines with Our Minds

PART 1

  1. On your X-Y Coordinate Pegboard, graph the line with blue pegs and agreen rubber band.
  1. On your X-Y Coordinate Pegboard, plot the points (2, 6) and (4,3) using red pegs and connect these points using one red rubber band.
  1. What do you notice about these two lines on the Pegboardgraph?

______

______

______

  1. What is the equation of the line in slope-intercept form for the line in problem #2? Show all work in the provided box below.

Equation of the line: ______

  1. What do you notice about the equations of these lines?

(Hint: Find the slope of each line and compare their numerical values.)

______

______

______

  1. On your X-Y Coordinate Pegboard, create any new line using blue pegs and a white rubber band that has the same characteristics that you identified in your response to #3.
  1. Write the equation of the line you created in #6 in slope-intercept form.

Show all work in the provided box below.

Equation of the line: ______

  1. Does the equation of your new line from #7 match your findings in question #5? Explain your results.

______

______

______

______

______

______

  1. What did you discover from Part 1 of the activity? Be specific.

______

______

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______

(Clear your X-Y Coordinate Pegboard)

PART 2

  1. On your X-Y Coordinate Pegboard, graph the line with blue pegs and a green rubber band.
  1. On your X-Y Coordinate Pegboard, plot the points (-1, 1) and (5,3) using red pegs and connect these points using one red rubber band.
  1. What do you notice about these two lines on the Pegboardgraph?

______

______

______

  1. What is the equation of the line in slope-intercept form for the line in problem #2? Show all work in the provided box below.

Equation of the line: ______

  1. What do you notice about the equations of these lines?

(Hint: Find the slope of each line and compare their numerical values.)

______

______

______

  1. On your X-Y Coordinate Pegboard, create any new line using blue pegs and a white rubber band that has the same characteristics that you identified in your response to #3.
  1. Write the equation of the line you created in #6 in slope-intercept form.

Show all work in the provided box below.

Equation of the line: ______

  1. Does the equation of your new line from #7 match your findings in question #5? Explain your results.

______

______

______

______

______

______

  1. What did you discover from Part 2 of the activity? Be specific.

______

______

______

______

______

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