The equation of line L1 is y = 3x-2 and the equation of line L2 is 3y-9x+5 = 0. Show that these two lines are parallel.

For two lines to be proven as parallel they must have the same gradient. The second equation needs to therefore be rearranged into y = mx + c format to see if this is the case.3y-9x+5 = 0 (subtract the 5)3y -9x = - 5 (add the 9x)3y = 9x - 5 (divide by 3)y = 3x - 5/3Gradient of L1 and L2 are the same (3) and are therefore parallel

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Answered by Frankie H. Maths tutor

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