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Straight Line Graphs. y. 10. 9. 8. All straight line graphs are of the form y = m x + c. 7. 6. 5. 4. 3. y intercept = 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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  1. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 7 6 5 4 3 y intercept = 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 m gives the gradient of the line and c gives the y intercept. rise = 2 run = 1 y = 2x + 3 The gradient is defined as the rise/run

  2. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 7 6 5 4 3 y intercept = -4 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 m gives the gradient of the line and c gives the y intercept. rise = 3 y = 3x - 4 run = 1 The gradient is defined as the rise/run

  3. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 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 y intercept = 1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 m gives the gradient of the line and c gives the y intercept. y = ½x + 1 rise = 1 run = 2 The gradient is defined as the rise/run

  4. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 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 y intercept = -5 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 m gives the gradient of the line and c gives the y intercept. The gradient is defined as the rise/run rise = 1 run = 3

  5. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 7 6 5 4 3 2 y intercept = 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 m gives the gradient of the line and c gives the y intercept. rise = 3 run = 4 The gradient is defined as the rise/run

  6. (b) (d) (a) (c) (e) Consider the straight lines shown below: Can you split the lines into two groups based on their gradients ? Positive gradient Lines (a) (c) and (d) slope upwards from left to right. Negative gradient Lines (b) and (e) slope downwards from left to right.

  7. Straight Line Graphs y 10 9 8 All straight line graphs are of the form y = mx + c 7 y intercept = 3 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 m gives the gradient of the line and c gives the y intercept. rise = 4 run = 5 The gradient is defined as the rise/run

  8. y Determine the equations of the following lines 10 9 1 5 8 7 6 5 2 4 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 6 -4 -5 3 -6 -7 -8 -9 -10 • y = 2x + 3 • y = 3x – 5 • y = -x + 6 • Y = ½x –2 • Y = - 4x –9 • y = ¾x

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