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  • 16-05-2020
  • Mathematics
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Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)

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ronhagrid310
ronhagrid310 ronhagrid310
  • 16-05-2020

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

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