Verified answer

The lines are parallel, so the "-2" bit remains the same.

The new equation will be y = -2x + b

(2, 6) is a solution, so we can plug those numbers in to find "b":

6 = -2(2) + b

6 = -4 + b

b = 10

SOLUTION: y = -2x + 10

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Since the other line is parallel, you know that the slope will be the same. So all you have to do is solve for the y-intercept (b).

y=-2x-b

6=-2(2)-b

6=-4-b

10=-b

b=-10

So your equation is:

y=-2x-10