This sentence has unequal ideas joined by a subordination conjunction.
Since the ideas in the sentence imply causation (the broken pulleys caused the inability to raise the flag) it means that the ideas are unequal. It is also necessary to join them with a subordinating conjunction, which show the causality within the sentence. In this case that subordination conjunction is "because".
First, find the equation of the line.
the slope is given, so y=-5x+b
now use the given point to find b: 228=-5*(-3)+b, b=228-15=213
so the equation of the line is y=-5x+213
when y=517: 517=-5x+213
304=-5x
x=-60.8
The main purpose is that its supposed to entertain and bring laughter