The equation the line L1 is y=3x-2 and the equation of line L2 is 3y-9x+5=0. Show that these two lines are parallel.

Two lines are parallel if they have the same gradient. The general equation for a straight line is y=mx+c, where m is the gradient and c is the y-intercept. If these lines are parallel, then m will be the same number for both equations. At the moment, L1 is in the correct y=mx+c form, but L2 needs rearranging into this form.L2: 3y-9x+5=0. Start by taking 5 off each side which gives 3y-9x=-5 and then add 9x to both sides which gives us 3y=9x-5. The straight line general equation needs to start with y=, so we need to divide each side of the equation by 3. This gives us y=3x-5/3. When compared to L1, we can see that in both equations, m = 3, therefore we can concur that these lines are parallel because they have the same gradient.

ZM
Answered by Zoe M. Maths tutor

8534 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the coordinates of the turning point of the curve y=x^2+3x+7


Given 4x+7y=25 and 2x+5y=17, identify x and y by solving the simultaneous equations


Expand and simplify 3(m + 4) – 2(4m + 1)


A ship is 180 kilometres away from a port P on a bearing of 63 degrees. Another ship is 245 kilometres away from port P on a bearing of 146 degrees. Calculate the distance between the two ships.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences