Concept:
Le Chatelier's Principle dictates how a system at equilibrium responds to external changes. When temperature is altered, the system shifts to counteract that specific thermal change.
Step 1: Chemical reactions either release heat to the surroundings (Exothermic, $\Delta H < 0$) or absorb heat from the surroundings (Endothermic, $\Delta H > 0$).
Step 2: For an endothermic reaction, heat acts like a necessary "reactant" to drive the process forward (Reactants + Heat $\rightleftharpoons$ Products).
Step 3: When you increase the temperature, you are essentially adding more "heat" to the system.
Step 4: To counteract the addition of extra heat, the system shifts in the direction that consumes heat.
Step 5: Because endothermic reactions naturally consume heat to proceed, an increase in temperature will drive the equilibrium forward, thereby favouring the conversion of endothermic reactions.