3 years ago

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

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

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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