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
Answered by Frankie H. Maths tutor

3382 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A farmer has a garden shaped into an isosceles triangle. Its side is 7m. He needs to enclose the perimeter, using copper wires, in order to avoid undesirable incidents. Each meter of copper wire cost 2£. How much does he need to pay to secure his garden?


The diagram shows the position of two ships, A and B, and a lighthouse L. Ship A is 5km from L on a bearing of 070° from L. Ship B is 3km from L on a bearing of 210° from L. Find the distance between A and B correct to 3.s.f.


solve the simultaneous equations 8x + 2y = 48 , 14x + 6y = 94


Find the solutions of the equation x^2 - 2x - 8 =0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning