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grigory [225]
3 years ago
12

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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