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1. (a) Plot the values from the table on to the coordinate grid below.

X | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |

Y | -10 | -8 | -6 | -4 | -2 | 0 | 2 | 4 | 6 | 8 | 10 |

1. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 2x

2. (a) Plot the values from the table on to the coordinate grid below.

X | -3 | -2 | -1 | 0 | 1 | 2 | 3 |

Y | -9 | -6 | -3 | 0 | 3 | 6 | 9 |

2. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 3x

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Show Answers3. (a) Plot the values from the table on to the coordinate grid below.

X | -6 | -4 | -2 | 0 | 2 | 4 | 6 |

Y | -9 | -6 | -3 | 0 | 3 | 6 | 9 |

3. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 1.5x

4. (a) Plot the values from the table on to the coordinate grid below.

X | -6 | -4 | -2 | 0 | 2 | 4 | 6 |

Y | 6 | 4 | 2 | 0 | -2 | -4 | -6 |

4. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = -x

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Show Answers5. (a) Plot the values from the table on to the coordinate grid below.

X | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |

Y | 10 | 8 | 6 | 4 | 2 | 0 | -2 | -4 | -6 | -8 | -10 |

5. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = -2x

6. Use the equation y = 2.5x to complete the table below and plot the values on to the coordinate grid below.

X | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 |

Y | -10 | -7.5 | -5 | -2.5 | 0 | 2.5 | 5 | 7.5 |

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Show Answers7. Drawn a line from each of the linear equations to the graph and slope that they match.

y = x/2 | y = x | y = 2x |

y = 2x | y = x/2 | y = x |

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The various resources listed below are aligned to the same standard, (8EE06) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

*Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. *

- Calculating the Slope of a Line (2 Pages)
- Slope Intercept Form (2 Pages)
- Converting to Slope Intercept Form (2 Pages)

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

*Understand the connections between proportional relationships, lines, and linear equations*

- Graphing Proportional Relationships (From Example/Guidance)
- Graphing Proportional Relationships (2 Pages) (From Worksheet)
- Calculating & Plotting Coordinates - from linear equations e.g. y = 2x - 6 ( 9 of 10) (From Worksheet)
- Calculating & Plotting Coordinates - from linear equations e.g. y = 2x - 6 ( 10 of 10) (From Worksheet)