Straight Line Equations
Task 1
Play around with the sliders. Watch what happens to the straight line as you change or . You can reset by clicking on the icon in the top right corner.
Describe how the line changes when you move the slider:
'When I change , the line...'
'When I change , the line...'
Task 2
Use the sliders to make the line go through the given points. Write the equation you found for the line into your book.
(a) (0, 0) and (3, 3)
(b) (-1, 2) and (1, 3)
(c) (-3, 2) and (2, -2)
(d) (-2, -1) and (3, -1)
Task 3
The sliders can only be changed in steps of 0.1. Try to make a line through the points (-1, 2) and (2, -3).
Write the best equation you can find using the sliders into your book. Which exact values do and need to have for the line to go exactly through the two given points? Write your answer into your book and support it with suitable calculations.