What is the equation of the line that is perpendicular to y = -2/3x + 4 and that passes through (–2,–2)?

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Answer: y = 3/2x + 1

Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.

- 2/3 becomes +3/2

Then substitute the y and x values of the given coordinate into the equation and solve for "b"

y = mx + b

-2 = 3/2(-2) + b

-2 = -3 + b

-2 +3 = b

+1 = b Substitute for b in y = (3/2)x + 1

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