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Show that y=3x-2 and 3y-9x+5=0 are parallel.

Parallel lines have the same gradient (same 'm' value in y=mx+c). Therefore m=3 for both equations; if they are parallel lines. The second equation needs to be rearranged for y to determine this. 3y-9x+5 = 0, 3y = 9x-5 y = 3x - 5/3 Therefore m=3 in the second equation, and the lines are parallel.

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