The sides of a rectangle have a length of x + 4 units and a width of 2x + 5 units. Which
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The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8
.. y = (x -4) -4
or, in standard form
.. x - y = 8