Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.
A linear function is modeled by:
y = mx + b
In which:
When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:
m = (10 - 8)/(2-1) = 2.
Then, for the perpendicular set:
2m = -1
m = -1/2.
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