Copy each system of equations below on your own paper.

Change the graphs to slope-intersect form. Remember, you need to be able to change the graphs to slope-intersect form to use the graphing calculator.

Sketch the graphs and try to determine where they cross. Don’t take a long time to do this. Just draw the axes, label each line and label the point of intersection.

Which equations did you write for each system of equations in slope-intercept form? Check your equations here.

1. Interactive popup. Assistance may be required.

   Check Equations

   The first equation should become y = -2x + 1.
   The second equation stays the same.
2. Interactive popup. Assistance may be required.

   Check Equations

   The first equation should become y = (-1/5)x – 1.
   The second equation should become y = (4/3)x + (20/3).
3. Interactive popup. Assistance may be required.

   Check Equations

   The first equation should become y = (2/5)x + (6/5).
   The second equation should become y = (3/2)x - (13/2).

Now you are going to use the applet to solve each system of equations.

Source: Linear Systems Applet, Ron Blond

What answers did you get? (use your mouse to see the correct answers below.)

Did these answers match your sketches?