Finding the Point of Intersection
Using the Graphing Calculator TI-83 Plus
Part A: Check the settings
1. Press window
Xmin = -10
Xmax = 10
Xscl = 1
Ymin = -10
Ymax = 10
Yscl = 1
Xres = 1
Xmin and Xmax set the domain values
Ymin and Ymax set the range values
Xscl and Yscl set the scale used on the axes
Xres sets the resolution
2. Press mode
Normal should be highlighted.
Float sets the number of decimal places to use.
Part B: Graphing the lines
1. Press y =
2. Use clear to clear any old functions.
3. Entery = 5x + 4
4. Enter y = 2x + 18
5. Press graph
6. Notice that the intersection point is not on the screen! You can either change the values for domain and range in the window OR Press zoom followed by selecting zoomfit. Check you window settings and you will notice that the calculator has selected new values for you.
Part C: Approximately the point of intersection
1. Press trace
2. Use left or right arrow keys to move cursor to the point of intersection to get an approximation of the coordinates.
3. For a better approximation use zoom zoomin enter
Part D: Calculate the accurate point of intersection
1. Press CALC
2. Choose intersect
3. You will be asked to verify the two curves and enter a guess (optional) for the point of intersection. Press enter after each screen appears.
Part E: Exercises
1. y=2x+1       y=-x+10
2. y-3x=5         y+2x=-5
3. x+2y=-4       x+2y=2
4. x +y=39       5x + 10y = 300
5. 40x+5y=90    y=3.5-x

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