Answer: Choice C. y = -1.5x
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Step-by-step explanation:
Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.
Use the slope formula to find the slope of the line through (-6,9) and (-4,6)
m = (y2-y1)/(x2-x1)
m = (6-9)/(-4-(-6))
m = (6-9)/(-4+6)
m = -3/2
m = -1.5
Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).
So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.
As a check, let's try something like x = 2
y = -1.5x
y = -1.5*2
y = -3
This verifies the second to last row of values. I'll let you check the other rows.