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

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The slope of y = -x is m = -1. Thus, starting with the slope-intercept form y = mx + b, we substitute -1 for m, 8 for x and 2 for y, to determine the vaue of b:

2 = -1(8) + b, or 10 = b. Then the equation of the line parallel to y = -x and passing thru (8,2) is:

y = -x + 10.

User Prageeth Saravanan
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