Question

Given the graph of a line y=−x. Write an equation of a line which is perpendicular and goes through the point (8,2).

Answer 1

Y=X-6

Explanation:

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Answer 2

y = x - 6

Explanation:

The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1. Thus,

y = mx + b becomes 2 = 1(8) + b, so that b = -6.

The desired equation is y = x - 6.

Check: Does (8,2) lie on this line? Is 2 = 8 - 6 true? YES.