Prove and use slope criteria for parallel and perpendicular lines.
Find the slope of a line perpendicular to a given line
Problem
Find the slope of a line perpendicular to \(y=4x-7\).
Big Picture
What this problem is really about
Read the original slope from the coefficient of x, then perform both parts of the perpendicular transformation: invert the slope ratio and change its sign. A quick product check should give negative one, which catches the common errors of changing only the sign or taking only the reciprocal.
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