Verified answer

y = x - 4

Two lines that are perpendicular have negative reciprocal slopes. Since the slope for the given line is -1, the line perp to it will have the slope of 1.

Y= mx +b.------substitute m by 1 and the coordinate point for x and y to find the value of b

-2 = (1)(2) + b

-2 = 2 +b -------subtract 2 on both sides

-2.....-2

-4 = b

Therefore, the equation for the line will be

Y = x - 4

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y = x + 3