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Question

Plot the following points on the a coordinate plane: (5, 0), (10, 5), (15, 10), (20, 15), (25, 20). Find the linear pattern from the graph.

A
y = x + 5
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B
x = y + 5
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C
x = y + 10
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D
x = 5y
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Solution

The correct option is B x = y + 5Given coordinates are: (5, 0), (10, 5), (15, 10), (20, 15), (25, 20). The X- coordinate in each ordered pair: 5 = 0 + 5; 10 = 5 + 5; 15 = 10 + 5; 20 = 15 + 5; 25 = 20 + 5 In each pair, the X- coordinate is 5 more than the Y- coordinate. The coordinates of each point have the same relationship between them. All the points plotted lie on a line. In such a case, when all the points plotted lie on a line, we say ‘a linear pattern’ exists. Therefore, the linear pattern can be denoted by the algebraic equation x = y + 5.

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