Objective The student will be able to: complete a table for a linear equation and graph the ordered pairs. SOL: A.6, A.7bf Designed by Skip Tyler, Varina High School

List some pairs of numbers that will satisfy the equation x + y = 4. x = 1 and y = 3 x = 2 and y = 2 x = 4 and y = 0 What about negative numbers? If x = -1 then y = ? y = 5

x + y = 4 What about decimals? If x = 2.6 then y = ? Now, let’s graph the pairs of numbers we have listed.

(1, 3) (2, 2) (4, 0) (-1, 5) (2.6, 1.4) • • • • • Connect the points on your graph. What does the graph look like?

It is a straight line! It is a linear relation. • What does the line represent? • • • • All solutions for the equation x+y=4! Is (3, -1) a solution to this equation? NO! You can check by graphing it or plugging into the equation!

1) Which is a solution to 2x – y = 5? (2, 1) (3, 2) (4, 3) (5, 4) Answer Now

2) Which ordered pair is not a solution to the graph shown? (0, -1) (3, 5) (-2, -5) (-3, -1) Answer Now

Let’s use the domain {0, 1, 2} for our equation. Create a t-table by picking at least three numbers to plug into our equation. Let’s use the domain {0, 1, 2} for our equation. x 1 2 ordered pair y -2(0) + 3 3 (0, 3) -2(1) + 3 1 (1, 1) -2(2) + 3 -1 (2, -1)

Draw a line through your points. It should be a straight line. Graph {(0, 3), (1, 1), (2, -1)} • • • Draw a line through your points. It should be a straight line.

Graph {(0, 3), (1, 1), (2, -1)} • • •

Which is the graph of y = -x + 3? Test using the slope slider! A B C D A B C D Answer Now