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Graph the equation of the line Y equals -2 / 3 x + 4

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You have the following equation of a line:

y = -2/3 x + 4

In order to sketch the graph of the given equation you can calculate the value of y for some values of x inside a definite interval. If you choose the interval (-3,3) for x, then the values of y in this interval will be:

y(-3) = (-2/3)(-3) + 4 = 6

y(-2) = (-2/3)(-2) + 4 = 16/3

y(-1) = (-2/3)(-1) + 4 = 13/3

y(0) = (-2/3)(0) + 4 = 4

y(1) = (-2/3)(1) + 4 = 10/3

y(2) = (-2/3)(2) + 4 = 8/3

y(3) = (-2/3)(3) + 4 = 2

summarizing, you have:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |

y | 6 | 16/3 | 13/3 | 4 | 10/3 | 8/3 | 2 |

The following image is a graph of the function

Graph the equation of the line Y equals -2 / 3 x + 4-example-1
User Kornelia
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