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Graphical Relationships

Graphical Relationships. By the end of this topic, you should be able to (a) Draw a straight line given its equation in the form y = ax + b by making a table of values. y. 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. x. 0. -10. 1. 2. 3. 4. 5. 6. 7. 9. 10. -9. -8. -6. -4. -3. -2.

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Graphical Relationships

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  1. Graphical Relationships By the end of this topic, you should be able to (a) Draw a straight line given its equation in the form y = ax + b by making a table of values

  2. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Plotting Points The points (1,3), (4,3) and (6,3) all lie on the line. A has coordinates (1,5) a y = 3 This is known as the equation of the line. b B has coordinate (3,2)

  3. Lines parallel to the x axis Lines parallel to the y axis y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Y = 8 Y = 4 Y = 2 Y = 0 Y = -3 Y = -8 x = 5 x = 9 x = - 4 x = - 7 x = 0

  4. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Drawing Straight Line Graphs y = x y = 3x x y x y 0 0  0 0  3 3  6 2  -4 -4  -9 -3  y = 2x y = ½x x y x y 0 0  0 0  4 8  6 3  2 4  -8 -4  Use grid 1 to draw 4 graphs with me.

  5. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x + 1 y = x + 5 x y x y 1 0  5 0  4 3  8 3  -3 -4  0 -5  y = x - 7 y = x + 2 x y x y -7 0  2 0  3 10  7 5  -3 4  -3 -5 

  6. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = 2x + 1 y = 3x – 4 x y x y 1 0  -4 0  7 3  8 4  -7 -4  -10 -2  y = ½x + 5 y = 2x - 5 x y x y 5 0  -5 0  9 8  7 6  1 -8  -9 -2 

  7. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = -x y = -3x + 4 x y x y 0 0  4 0  -5 5  -8 4  6 -6  10 -2  y = -½x - 3 y = -2x x y x y -3 0  0 0  -7 8  -6 3  1 -8  10 -5 

  8. y Draw the following straight line graphs 10 9 • y = 2x + 3 • y = 3x – 5 • y = -x + 6 • y = -4 • x = 7 • Y = ½x –2 • Y = - 4x -9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

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