Show that the lines y-5x=2 and 6y-30x=36 are parallel

Rearrange both equations so that both are in the form y= something. Move the x terms to the right of both equations. y=5x+2 6y=30x+36 Factorise second equation so that common factor of 6 is shown. 6y=6(5x+6)Divide second equation through by 6 so that the second equation has been simplified. y=5x+6Show that 5x is common to both equations. Realise that 5 is the gradient of both lines. Gradients are equal and y-intercept is different so lines are parallel

Answered by Madeleine B. Maths tutor

2884 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

3/5 of a number is 162. What is that number?


Show that the following 2 lines are parallel: l1: 3y=15x+17 l2: 7y+5=35x


Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.


Quadratic Equations and factorising


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences