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complete a table for a linear equation and graph the ordered pairs. SOL: A.6, A.7bf

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

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complete a table for a linear equation and graph the ordered pairs. SOL: A.6, A.7bf

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  1. ObjectiveThe 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

  2. 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

  3. x + y = 4What about decimals?If x = 2.6 then y = ? y = 1.4 Now, let’s graph the pairs of numbers we have listed.

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

  5. 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! •

  6. Answer Now 1) Which is a solution to2x – y = 5? • (2, 1) • (3, 2) • (4, 3) • (5, 4)

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

  8. 3) Solve the following equation for y: 2x + y = 4 • Draw “the river” • Subtract 2x from both sides • Simplify. Write the equation with the variable first. -2x -2x y = -2x + 4

  9. 4) Solve the following equation for y: 4x - 5y = 7 • Draw “the river” • Subtract 4x from both sides • Simplify. Write the equation with the variable first. • Divide both sides by -5 • Does the fraction simplify? -4x -4x -5y = -4x + 7 -5 -5

  10. Answer Now 5) Solve the following equation for y:6x – 2y = 8 • y = -6x + 8 • y = 6x – 8 • y = -3x + 4 • y = 3x - 4

  11. 6) Make a table and graph the solution set of 4x + 2y = 6. • Draw “the river” • Subtract 4x from both sides • Simplify. Write the equation with the variable first. • Divide both sides by 2 • Does the fraction simplify? -4x -4x 2y= -4x + 6 2 2

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

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

  14. Graph {(0, 3), (1, 1), (2, -1)} • • •

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

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