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Warm-up

Warm-up. Make a T-Table and graph the equation. y = 2x + 2. x. y. -2. -2. 0. -1. 2. 0. 4. 1. 6. 2. y. 5. x. -5. -5. 5. Finding X and Y intercepts. Where the line crosses the y-axis. y -intercept = 3. (0, 3). What is an intercept?. (4, 0). x -intercept = 4.

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Warm-up

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  1. Warm-up Make a T-Table and graph the equation • y = 2x + 2 x y -2 -2 0 -1 2 0 4 1 6 2

  2. y 5 x -5 -5 5 Finding X and Y intercepts Where the line crosses the y-axis. y-intercept = 3 (0, 3) What is an intercept? (4, 0) x-intercept = 4 Where the line crosses the x-axis.

  3. y 5 x -5 -5 5 In your notes: 1.) (0, 3) y-intercept = 3 (3, 0) x-intercept = 3

  4. y 5 x -5 -5 5 In your notes: 2.) y-intercept = -4 (-1, 0) x-intercept = -1 (0, -4)

  5. X and Y Intercepts • Plug in 0 for y – this is the x-intercept • Plug in 0 for x – this is the y-intercept

  6. y 5 x -5 -5 5 Finding X intercepts x + y = 5 x + (0) = 5 x = 5 x = 5 (5, 0)

  7. y 5 x -5 -5 5 Finding X intercepts x - 3y = 7 x - 3(0) = 7 x = 7 x = 7 (7, 0)

  8. y 5 x -5 -5 5 Finding X intercepts 6x + 12y = 36 6x + 12(0) = 36 6x = 36 6 6 (6, 0) x = 6

  9. y 5 x -5 -5 5 Finding Y intercepts y = -3x - 4 y = -3(0) - 4 y = -4 y = -4 (0, -4)

  10. y 5 x -5 -5 5 Finding Y intercepts -3x + 6y = 18 -3(0) + 6y = 18 6y = 18 (0, 3) 6 6 y = 3

  11. y 5 x -5 -5 5 Finding Y intercepts (0, 6) y = ½ x + 6 y = ½ (0) + 6 y = 6 y = 6

  12. y 5 x -5 -5 5 Finding X and Y intercepts 2x + 3y = 6 2x + 3(0) = 6 2x = 6 2 2 (0, 2) x = 3 (3, 0) 2x + 3y = 6 2(0) + 3y = 6 3y = 6 3 3 y = 2

  13. y 5 x -5 -5 5 Finding X and Y intercepts 4x + 8y = 16 4x + 8(0) = 16 4x = 16 4 4 (0, 2) x = 4 (4, 0) 4x + 8y = 16 4(0) + 8y = 16 8y = 16 8 8 y = 2

  14. y 5 x -5 -5 5 Finding X and Y intercepts x - 2y = 4 x - 2(0) = 4 x = 4 x = 4 (4, 0) x - 2y = 4 (0) - 2y = 4 (0, -2) -2y = 4 -2 -2 y = -2

  15. Finding x and y intercepts Find the x-intercept of the line - 3x + 2y = 9 X-intercept MEANSy = 0

  16. Finding x and y intercepts Find the y-intercept of the line - 3x + 2y = 9 y-intercept MEANSx = 0

  17. y 5 x -5 -5 5 Cover up method Hint: Cover up the 4y first. Hint: Cover up the 2x this time. Solve for x andy. 2x + 4y = 8 2x + 4y = 8 2x = 8 4y = 8 x = 4 y = 2

  18. y 5 x -5 -5 5 Use the Cover Up Method - 6x – 4y = 2 -6x = 2 x = -1/3 • 6x – 4y = 2 • -4y = 2 • y= -1/2 • (-1/3, -1/2)

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