Question

Do the equations 2x + 4y = 3 and 12x + 6y = 6 represent a pair of parallel lines? Justify your answer.

Answer 1

No, the equations 2x + 4y = 3 and 12x + 6y = 6 don't represent a pair of parallel lines because the slope of both the lines are not equal.

Slope of 2x + 4y = 3 => -2/4 = -1/2

Slope of 12x + 6y = 6 => -12/6 = -2

6( 2x + y)=6.

2x + y = 1

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