The problem (5x² + 10x — 15) ÷ (x + 5) can be done using synthetic division as it is.
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Y=mx+b
m=slope
perpendicular lines have slopes that multiply to get -1
the slopes are
for
and 
, the slope are 
since their product is -1, the lines are perpendicular
m=slope
perpendicular lines have slopes that multiply to get -1
the slopes are
for
since their product is -1, the lines are perpendicular