Write an equation of the line that passes through (−2, −1) and is perpendicular to 2y =3x−5.

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

Answer:

y = 2/3x - 1

Step-by-step explanation:

Find the slope:

2y = 3x - 5

2/2y = 3/2x - 5/2

y = 3/2x - 5/2

Slope is 3/2

In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.

Perpendicular equation:

y = 2/3x + b

b is going to be equal to the y intercept of the point they gave us, so -1.

Answer: y = 2/3x - 1

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