Algebra

X Y
-2 5
-1 10
0 15
1 20
2 25

Write an equation that explains the relationship between the average X and average Y.

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  1. Sketch a graph of those points.
    You will see immediately that x goes up by one while y goes up by 5 every time.
    That means this is a straight line with constant slope 5/1 = 5
    That means that an equation of form y = 5 x + b will fit all the points.
    Use any point, for example (0,15) to find b
    15 = 5*0 + b
    b = 15
    so our equation is
    y = 5 x + 15

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