GSP is a nice tool for finding out information about lines that Algebra
Xpresser may not give. We can plot points, create the line that goes through
those points, and then measure the slope of the line. Algebra Xpresser is
nice because we can enter equations in point-slope form, standard form,
or slope-intercept form and see a graph of our line. We are going to find
out information about lines using both programs. When you see *STOP* you
will have to perform some type of operation in the space provided.

**Instructions for beginning:
**Go under

Click on the white area of your screen to remove the logo.

Click on the double box on the top right area of your screen to have your "piece of paper" take up the entire screen.

Go under

Click on the point (1,0) and drag this adjuster point toward (0,0) until you can see -10 through 10 on each axis.

Go under

PROJECT ONE:

You are going to plot a couple of points, construct the line that goes through those points, and find out the equation of the line using the computer. You will then trace some ordered pairs of your equation that are solutions of your equation. Next, you will be looking at the x and y intercepts. Finally, you will find the slope of the line by counting rise over run. The menus you will go to will be listed in boldface print.

TYPE 3 (tab) 5 (return)

TYPE -4 (tab) -2 (return)

click on

The computer should have plotted those two points. Make sure they are highlighted. If not, hold down the shift key and click on each point with your mouse.

*STOP* Calculate the slope of the line that goes through those two points using:

**b)** **DISPLAY - SHOW LABELS **(This helps you to identify the two
points.)

Go to the toolbar on the left. Click on the line segment and drag out to
the line tool. DO NOT construct the line that goes through those two points
by drawing it. We are going to have the computer construct the line that
goes through those two points. This will ensure that the line cannot be
moved.

**c)** **CONSTRUCT - LINE**

Make sure your line is highlighted if not select the line by clicking on
it with the mouse.

**DISPLAY - COLOR - RED
**d) You are now going to find the slope of the line by counting from
one point to the other. Remember slope = rise/run. What is the slope of
your line? __________

You should see a highlighted point on your line. We want to find out its location.

What does the calculator show as the equation of the line? __________________

equation of the line in slope-intercept form____________________

equation of the line in slope-intercept form____________________

Now we are going to use

Go to the

You should see a white screen with a tool bar to the right. You will see that is selected, or in other words highlighted. This is where we will type in the equations we want to graph. Make sure your CAPS LOCK is off.

We want to see a graph of the equation

slope = __________

y-intercept = __________

slope = = __________

y-intercept = __________

*STOP* What form is the equation in?_______________

slope = __________

y-intercept = __________

x-intercept = __________

f) See if you can predict what the slope and y-intercept will be for the equation,

slope = __________

y-intercept = __________

*STOP* How do you find the x-intercept algebraically? Show your work below

slope = __________

y-intercept = __________

x-intercept = __________

y-intercept? _________