Given the linear equation 3x + 2y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is parallel lines.
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Given line is 2x+3y−8=0
(a)example of intersecting line ;
x+y−5=0 forms a intersecting line
(b) example for parallel line
Parallel line ⇒slopes must be equal
⇒6x+9y+10=0 is parallel to the given line
(c) example of coincident lines
Coincident ⇒ratio of coefficient must be equal
⇒4x+6y−16=0 coincides with the given line
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