Why is the equation for heat flow negative?

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Vitani11
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Homework Statement


q = -kdp/dx

Homework Equations



q = heat flow
k = constant
p = thermal energy density

The Attempt at a Solution


This equation says that when heat flows from hot to cold the thermal energy density increases but why? I thought heat meant a higher thermal energy density and hot to cold meant a lower energy density since the molecules that make up the air are slower when cold.
 
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