A geometry problem by Darius B

Geometry Level 2

Given are two linear functions $f(x)={ m }_{ f }⋅x$ and $g(x)={ m }_{ g }⋅x$ with ${ m }_{ f },{ m }_{ g }\in ℝ\setminus \left\{ 0 \right\}$ . The lines $f(x)$ and $g(x)$ are perpendicular to each other on their graph. Find the value of ${ m }_{ f }⋅{ m }_{ g }$

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Darius B
May 14, 2016

When two linear functions $f$ and $g$ are perpendicular to each other their slopes satisfy the equation ${ m }_{ f }=-\frac { 1 }{ { m }_{ g } }$ , therefore ${ m }_{ f }⋅{ m }_{ g }=-1$

A geometry problem by Darius B

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