SOLUTION: If the ordered pairs are (4,9), (5,7), (6,5), (7,3), & (8,1), then what is the linear equation?

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Question 948651: If the ordered pairs are (4,9), (5,7), (6,5), (7,3), & (8,1), then what is the linear equation?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
They are shown in order of increasing x coordinate. Check to see that the slopes between neighboring-listed points are all equal. .....
.... They are equal.


That means, change in y divided by change in x is the same value between any pair of points listed. Staying with purely algebraic thinking, what you do next depends on which form of equation you are comfortable to use.

y=mx%2Bb; m=-2%2F1.

Choose ANY point from the list.
PICKING: (4,9);
mx%2Bb=y
b=y-mx
b=9-%28-2%29%284%29
b=9%2B8
b=17
-
EQUATION: highlight%28y=-2x%2B17%29