Answer: Choice A
y - 35 = 7(x + 15)
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Explanation:
Pick any two columns to find the slope. I'll pick the first two columns
(x1,y1) = (-40, -140) and (x2,y2) = (-30, -70)
m = (y2 - y1)/(x2 - x1)
m = (-70 - (-140))/(-30 - (-40))
m = (-70 + 140)/(-30 + 40)
m = 70/10
m = 7
This narrows our choices between A and B
Now if we used (x1,y1) = (-40, -140) in the point slope formula, then we wouldn't get either A or B. But luckily we can use any point from the table in place of this. It turns out we'll use the third column to get (x1,y1) = (-15,35). Use trial and error.
So,
y - y1 = m(x - x1)
y - 35 = 7(x - (-15))
y - 35 = 7(x + 15)