Answer: -1/4
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Step-by-step explanation:
Pick any two rows from the table. I'll pick the first two rows
x = -8 and y = 10
x = 0 and y = 8
Those two rows form the points (x1,y1) = (-8,10) and (x2,y2) = (0,8)
They are then plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (8-10)/(0-(-8))
m = (8-10)/(0+8)
m = -2/8
m = -1/4
The slope or rate of change is -1/4
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This means that each time x goes up by 4, y goes up by 1, since
slope = rise/run = -1/4
rise/run = -1/4
rise = -1 means we go down 1
run = 4 means we move to the right 4 units.