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 Dependent Variable

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# Linear Equations

## Postivite and Negative Slope

Example 1 - Positive slope

y = Â½ x + 1

 x y 0 1 1 1Â½ 2 2 3 2Â½ 4 3

Example 2 - Negative slope

y = -Â½ x + 1

 x y 0 1 1 1Â½ 2 0 3 -Â½ 4 -1

Notice the y- intercept is the same, i.e. 1, for our first two examples. The only difference between the two equations is the slope, and not the â€˜+1â€™ on the end.

Note the slope of the line is the same anywhere you look; you can measure the rise and the run anywhere on the graph. Anywhere you look, when you look at rise Ã· run, you get the same slope.

Can you think of examples of a negative slope?