# Name ___________________________

Date _________

Solving Systems of Equations by Graphing Using a Graphing Calculator
Graphing Calculator Directions To graph a line: 1) Make sure the line is written in slope-intercept form. 2) Press and type in your first equation. Note: if your slope is a fraction, is typed in:

you must put it in parentheses. Example,

3) Press 4) Press press

and type in your second equation to view your graphs. If you need to change the scale of the axes, .

To find a point of intersection: 1) Follow this sequence:

1) Use a graphing calculator to find the solution (point of intersection).
2 x9 3 4 y   x3 3 y

a)

b)

y  3x  6 y  5 x  2

c)

3 y   x 8 2 11 y  x6 2

d)

1 y   x 8 5 11 y  x2 5

2) Graph the system of equations:

4 x5 3 4 y x 1 3 y

a) Describe the graph. What do you notice about the slopes and y-intercepts of these equations?

b) How many solutions does this system have? Explain.

3) The graphs of the following 3 lines contain the sides of a triangle. Find the coordinates of the vertices of the triangle. y  2x 1 y  4 x  7 1 y  x2 2

4)

System of Equations

Table of Values
Use the table function on your calculator to fill in the table.
Number of Months Total Cost Option 1 Total Cost Option 2

Option 1: Nextel has an initial fee of \$120 and charges \$40 per month Equation:

0 6 12 18

Option 2: AT&T has an initial fee of \$300 and charges \$25 per month Equation:

24 30 36 42

Graph
Use the graph function on your calculator to graph the equations. Write the window settings you used here. Xmin = Xmax = Xscale = Ymin = Ymax = Yscale = Xres = 1

Analysis
1) What is the point of intersection of the two equations?

2) What does the point mean in the context of this situation?
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