Respuesta :

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)