Graphing Equations TeacherTwins©2014

Warm Up -1 1 -5 5 2). Write the equation for each table. a). X Y 1 4 2   X Y = 5X X -1 1 -5 5 2). Write the equation for each table. a). X Y 1 4 2 5 3 6 7 b). X Y 2 1 5 8 3 11 Y = x + 3 Y = 3x+2

You get the coordinates by using your x’s and y’s from the table. When you have an equation in two variables you are able to graph them on a coordinate plane. You get the coordinates by using your x’s and y’s from the table. The coordinates you will use to graph the equation on a coordinate plane will be: ( -2, 0) , ( -1, 1), ( 0, 2), (1, 3) These coordinates are solutions to the equation. Y = x + 2 X Y -2 0 -1 1 0 2 1 3

Plot each point on the graph and connect the points Plot each point on the graph and connect the points. You will be graphing linear equations which form straight lines. ( -2, 0) ( -1, 1) ( 0, 2) (1, 3) This graph only shows 4 ordered pairs, but any solution to the equation y= 2x + 1 will be on this line.

  X Y = x + 2 Y (X , Y) -1 Y = -1 + 2 1 (-1 , 1 ) Y = 0 + 2 2 (0 , 2) Y = 1 + 2 3 (1 , 3 ) Y = 2 + 2 4 (2 , 4)

Find 4 solutions of each equation Find 4 solutions of each equation. Use the following numbers for x: -1, 0, 1, 2 Example 1: y=2x Example 2: y=3x+1 Example 3: y= x-2 Example 4: y = 2x - 2 (-1, -2), (0, 0), (1, 2), (2, 4) ( -1, -2), (0, 1), (1, 4), (2, 7) (-1, -3), (0, -2), (1, -1), (2, 0) (-1, -4), (0, -2), (1, 0), (2, 2)

Graph each of the equations Graph each of the equations. Use your solutions from the previous problems. Y = 2x Y = 3x + 1 Y = x - 2 Y = 2x -2

Y = 2x Y = 3x + 1 Y = x - 2 Y = 2x -2

Write each one of your four examples on a flap using a different color Write each one of your four examples on a flap using a different color. Graph each equation in a different color using the graph provided. Y = 2x Y = 3x + 1 Y = 2x -2 Y = x - 2

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