Exploring systems of linear equations

with Geometer's Sketchpad

How to draw a line through two points in GSP

The instructions here are for drawing a line through two points that can move;  specifically, a point on the Y axis and one floating freely, but similar techniques can be used to draw lines through free points in other situations.
 

Select Create Axes from the Graph menu
First we are going to create a free point on the Y axis.
Select the Y axis, by:
Selecting the select tool
Then click on the Y axis.  Two small squares will appear on it to show it is selected.
Select Point on Object from the Construct menu.
Your new point will appear highlighted on the Y axis.  You can move it up and down the axis by clicking and dragging it.
Now we will create a completely free point.
Select the Point tool from the tool bar at the left.
Click somewhere, not on either axis or any other line.  Your new point will appear highlighted where you click.
To display the co-ordinates of a point, select it, and then choose Coordinates from the Measure menu.
Now it is time to draw the line through the points.  Select the Line tool from the tool bar at the left.
Select your two points, by:
First selecting the select tool
Then clicking on one point, and holding down Shift when clicking on the second one.
Select Line from the Construct menu
Voila! You have your line!
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[Copyright -- David A Reid] [Acadia University]