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

In this question, you are being asked to show L1 and L2 are parallel. The equations of two parallel lines will have the same gradient. This is the number in front of the x term in the equation, but to compare the two equations they have to be in the same form. The equation for L1 is in the form y=mx+c but the equation for L2 is in the form Ay - mx + c =0 which is more complex. So the first thing to do in this question is to rearrange the equation for L2 into the y=mx+c form. Start with:3y – 9x + 5 = 0 - start by putting y term on one side and other terms on the other side 3y = 9x - 5 - next need to change 3y to make it y by dividing both sides by 3y= (9/3)x- (5/3). So y=3x- (5/3) - L2 is now in the same form as L1Comparing the m term of both equations shows they m=3 for both equations, therefore, they are parallel

AW
Answered by Abigail W. Maths tutor

4398 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise x 2 − x − 12


John has 12 marbles. Sandra has 10 more marbles than Kathy. Kathy has 4 times as many marbles as John. How many marbles does Sandra have?


Solve the equation (3x**2 + 8x + 4) = 0


5x - 2 > 3x + 11


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