Coordinate Geometry: Quick Investigation
Directions:
1) Graph any line.
2) Plot a point anywhere NOT ON THAT LINE.
3) Construct a line PARALLEL to the GIVEN LINE.
Go to the questions below the applet. Please answer these.
4.
Use the slope tool to measure and display the slopes of both lines. What do you immediately notice?
5.
Select the Move arrow now. Drag any one or more of the orange points of the first line around. Does the phenomenon you described in your response to (4) above still hold true?
6.
In general, what can we conclude about any two non-vertical lines drawn in the coordinate plane?