what is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?

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1. Answer:

   5/3 or 1.67

   Step-by-step explanation:

   Find the slope of the original line

   3x+5y=4                Subtract 3x from both sides

   5y = – 3x + 4           Divide both sides by 5

   y = (-3/5)x + 4

   The original line has a slope of – 3/5 or – 0.6

   Find the slope of the perpendicular line

   m1 * m2 = – 1

   m1 = – 3/5

   m2 = -1/(-3/5)

   m2 = 5/3

   The slope of the perpendicular line is

   5/3 or 1.67

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