meggan07 meggan07
  • 15-05-2020
  • Mathematics
contestada

if a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

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sana112704
sana112704 sana112704
  • 15-05-2020

Answer:

3x + 2y = -2

Step-by-step explanation:

Given Equation is − 2 x  +  3 y  =  12

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

Slope of this line is  m  =  2/ 3

Slope of Line A m a  =  2

Slope of Line B  m b  =  2/ 3

Slope of Line C  m c  =  − ( 2 /3 )

Slope of Line D  m d  =  −  ( 3 /2 )

since  m d  =  − 1 /m  ,  D  is perpendicular to the given line

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