6 x + 12 y = 7 / − 6 x 12 y = − 6 x + 7 / : 12 y = 12 − 6 x + 7 y = − 12 6 x + 12 7 y = − 2 1 x + 12 7 A n s w er : m = − 2 1
The slope of the graph of the equation 6 x + 12 y = 7 is − 2 1 . This means the line decreases by 1 unit for every 2 units it moves to the right. Therefore, the rate of change represented by the slope is negative half.
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