Activity: Investigating Lines with Our Minds
PART 1
- On your X-Y Coordinate Pegboard, graph the line with blue pegs and agreen rubber band.
- 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.
- What do you notice about these two lines on the Pegboardgraph?
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- 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: ______
- What do you notice about the equations of these lines?
(Hint: Find the slope of each line and compare their numerical values.)
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- 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.
- 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: ______
- Does the equation of your new line from #7 match your findings in question #5? Explain your results.
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- What did you discover from Part 1 of the activity? Be specific.
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(Clear your X-Y Coordinate Pegboard)
PART 2
- On your X-Y Coordinate Pegboard, graph the line with blue pegs and a green rubber band.
- 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.
- What do you notice about these two lines on the Pegboardgraph?
______
______
______
- 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: ______
- What do you notice about the equations of these lines?
(Hint: Find the slope of each line and compare their numerical values.)
______
______
______
- 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.
- 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: ______
- Does the equation of your new line from #7 match your findings in question #5? Explain your results.
______
______
______
______
______
______
- What did you discover from Part 2 of the activity? Be specific.
______
______
______
______
______
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