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Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y-4=5/2(x+3);(-7,8)

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the given line has slope 5/2
Any line perpendicular to that has slope -2/5
So, now you have a point and a slop -- use the point-slope form for the desired line:

y-8 = -2/5 (x+7)

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