Department of Mathematics --- College of Science --- University of Utah

Mathematics 1010 online

To Draw the Line

If you see this red text then unfortunately your browser does not support applets. You may have to enable Java, or use a different system.Click here to see a gif image of the applet that you should be seeing.

The applet just above this paragraph lets you practice drawing straight lines based on various types of information:

  1. One point $ (x_1,y_1) $
  2. Another point $ (x_2,y_2) $.
  3. The slope $ m $.
  4. The $ x $-intercept $ x_I $.
  5. The $ y $-intercept $ b $..
  6. The slope intercept form $\displaystyle y = mx + b $ of a line.
  7. The point slope form $\displaystyle \frac{y-y_1}{x-x_1} = m $ of a line.
  8. The 2-point form $\displaystyle \frac{y-y_1}{x-x_1} = \frac{y_2-y_2}{x_2-x_1} $ of a line
  9. The general form $\displaystyle Ax + By + C = 0 $ of a line.

Any one of the last four or any two of the first five items determine the line. You draw the line by setting up a suitable coordinate system and then drawing two points on the line. If your points are correct you are informed, and you can go on to another line, otherwise you get to try again.

Operating the Applet

To make use of the applet proceed as follows:

The system generates lines randomly, and it does not keep track of your performance. The purpose of this applet is strictly to help you practice drawing and understanding lines.

The applet on this page may also help you appreciate the following bit of web humor I came across recently:

Euclid's last Theorem. After a while you get to a point where you have to draw the line.