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

3494 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify (2sin45 - tan45) / 4tan60


Write y = x^2 + 4x + 6 in the form y = (x + a)^2 + b. What is the minimum value of y?


How do you find the gradient of a straight line?


A cycle race across Hungary is 392,5 miles long. Bob is a contestant in this race, he can go as fast as 13.48 miles per hour and can pedal 6 hours a day. Work out in how many days will Bob complete this race.


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