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andre [41]
3 years ago
15

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

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

<em>3x + 2y = -2 </em>

Step-by-step explanation:

<em>Given Equation is</em> <em>− 2 x  +  3 y  =  12</em>

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

<em />

<em>Slope of this line is  </em><em>m  =  2/ 3 </em>

<em> Slope of Line A </em><em> m a  =  2 </em>

<em> Slope of Line B  </em><em>m b  =  2/ 3 </em>

<em> Slope of Line C  </em><em>m c  =  − ( 2 /3 ) </em>

<em> Slope of Line D</em>  <em>m d  =  −  ( 3 /2 ) </em>

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

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