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Math Question

A line \( z \) contains points \( (3,-1) \) and \( (-2,2) \). What is the equation of a line that is perpendicular to \( z \) and passes through \( (3,6) \) ?
A \( y=\frac{5}{3} x+1 \)
B \( y=-\frac{5}{3} x+1 \)
C \( y=\frac{3}{5} x+6 \)
D \( y=-\frac{3}{5} x+6 \)

Solution

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