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x - 4y = 3 is the slope of a line perpendicular to line whose equation is y -5 3x plus 8 3.
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If you mean y = 2x+5 then the perpendicular slope is -1/2
Get the slope of the given line, by putting it into slope-intercept form. Then you can divide minus one by this slope, to get the slope of any perpendicular line.