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

FH

Related Maths GCSE answers

All answers ▸

How can I use the Pythagoras' Theorem to work out the length of a missing side of a triangle?


Expand and simplify 2(a + 3) + 5(a – 1)


Express x^2+8x+15 in the form (x+a)^2-b


White paint costs £2.80 per litre and blue paint costs £3.50 per litre. White and blue paint are mixed in the ratio 3 : 2. How much does it cost to make 18 litres of this mixture?