<PRE><B>Question 325058</B>
Slopes of perpendicular lines are negative reciprocals of each other.

Your given slope is 3/5.  The slope of the equation we want to find is -5/3.

We use the point-slope formula: y - a = m(x - b), where the given point (5,2) represents the general point (b,a).

NOTE: I used a and b to represent the given point but you can use any two letters of choice.

Let m = -5/3

Let a = 2

Let b = 5

y - 2 = (-5/3)(x - 5)

y - 2 = (-5/3)(x) + (25/3)

y = (-5/3)(x) + (25/3) + 2

y = (-5/3)(x) + (31/3)



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