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  • 02-07-2016
  • Mathematics
contestada

what is the slope of a line that is perpendicular to the line 2y – 3x = 8?

Respuesta :

yasmitadp yasmitadp
  • 19-02-2020

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

2y - 3x = 8

2y = 3x + 8

y = [tex]\frac{3}{2}[/tex] x +4  

It is similar to y = mx + b

Therefore m = [tex]\frac{3}{2}[/tex]

To check whether a line has perpendicular slope we check the product of the slopes to be -1.

The perpendicular slope is [tex]\frac{-2}{3}[/tex]

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