Solving Linear Systems by Graphing

Working in pairs, you will use TI-83 graphing calculators to solve a "system" of equations. Set your window to ZDecimal (press the Window key, then choose ZDecimal).

For each of the following pairs of equations, enter the equations into your TI-83. Press the Y= key and enter the equations. Press the Graph key. Find the point where the graphs cross (press the Trace key, then use the cursor keys). Substitute the x and y coordinates into each equation to verify that this point really is on each line.

Y1 = 2X - 3

Y1 = -2X

Y1 = -2X + 2

Y2 = X - 2

Y2 = -X + 1

Y2 = X - 1

Y1 = 2X

Y1 = ABS(X + 2)

Y2 = X + 1

Y2 = X2

Copy each graph onto graph paper. Label each graph with the equations that are being graphed. Label the point of intersection for each graph with the x and y values of that point. Show (by substituting the x and y values into each equation) that this point really is on both lines.