Activity: Investigating Lines with Our Minds
PART 1
3
1. On your X-Y Coordinate Pegboard, graph the line 𝑦 = 2 𝑥 − 4 with blue pegs
and a green rubber band.
2. 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.
3. What do you notice about these two lines on the Pegboard graph?
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4. 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: ____________________________
5. 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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6. 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.
7. 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: ____________________________
8. Does the equation of your new line from #7 match your findings in question
#5? Explain your results.
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_________________________________________________________
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9. What did you discover from Part 1 of the activity? Be specific.
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(Clear your X-Y Coordinate Pegboard)
PART 2
3
1. On your X-Y Coordinate Pegboard, graph the line 𝑦 = 2 𝑥 − 4 with blue pegs
and a green rubber band.
2. 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.
3. What do you notice about these two lines on the Pegboard graph?
_________________________________________________________
_________________________________________________________
_________________________________________________________
4. 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: ____________________________
5. What do you notice about the equations of these lines?
(Hint: Find the slope of each line and compare their numerical values.)
_________________________________________________________
_________________________________________________________
_________________________________________________________
6. 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.
7. 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: ____________________________
8. Does the equation of your new line from #7 match your findings in question
#5? Explain your results.
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
9. What did you discover from Part 2 of the activity? Be specific.
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
_________________________________________________________
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