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LINEAR RELATIONSHIPS

LINEAR RELATIONSHIPS. This has to do with lines. Lines are formed from sets of points. Each point has an x-coordinate and a y-coordinate. The equation of a line tells us the connection between the x and y coordinates for each point. Consider the following diagram. (1,8). (3,6). (5,4).

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LINEAR RELATIONSHIPS

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  1. LINEAR RELATIONSHIPS This has to do with lines. Lines are formed from sets of points. Each point has an x-coordinate and a y-coordinate. The equation of a line tells us the connection between the x and y coordinates for each point. Consider the following diagram.

  2. (1,8) (3,6) (5,4) (7,2) (9,0) For each of these points the “x-value + the y-value = 9” So the equation of the line is x + y = 9

  3. Now consider this diagram. (8,6) (6,4) (4,2) (2,0) (0,-2) For each of these points the “y-value = the x-value - 2” So the equation of the line is y = x - 2

  4. Example 1 Draw the line y = 2x – 1 . To get the y-value we double the x-value then take away 1. We can choose our own x-values x -2 -1 0 1 2 y -5 -3 -1 1 3 We can now draw a graph.

  5. y = 2x - 1

  6. Example 2 Draw the line y = 1/3x + 2 . To get the y-value we divide the x-value by 3 then add 2. We can choose our own x-values x -6 -3 0 3 6 y 0 1 2 3 4 We can now draw a graph.

  7. y = 1/3x + 2

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