The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.

The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this form.3y-9x+5=0. First rearrange to have y on the left hand side. -5 and +9x.3y=9x-5. Then divide by 3.y=3x-5/3. Line 1 and line 2 both have 3 as their gradients, so are parallel.

Answered by Emma S. Maths tutor

2688 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A cone has radius 6cm and height 5cm. Work out its volume in terms of pi. (Formula for the volume of a cone is V=(1/3)pi(r)^2h)


Solve the simultaneous equations y=x-5 and 10y=2x+6 by elimination, and by substitution.


Why do we use simultaneous equations?


Calculate the equation of a line that passes through the point (2,4) and has a gradient of 1.5 in the form y=mx+c


We're here to help

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