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The line perpendicular to a line with a slope of 1/5 has a slope of -5.
-5/3 it is always the opposite reciprocal for a perpendicular slope
7
If you mean: y = 4x+5 then the perpendicular slope is -1/4
If the gradient of a line is m, the gradient of a line perpendicular to it (m') is such that mm' = -1, that is: m' = -1/m So for: y = -x - 5 m = -1, so the gradient of a perpendicular line is: m' = -1/-1 = 1 So a general line perpendicular to y = -x - 5 would be: y = x + c A specific line perpendicular to y = -x - 5 at point (xo, -xo-5) on the line is: y - (-xo-5) = 1(x - xo) ⇒ y = x - 2xo - 5