Line A passes through point Q(2,3). Line B is parallel to line A and has the equation 2y-3x=4. What is the equation of line A?

If two lines are parallel they have the same gradient so we must find the gradient of line B and use it to find line ALine B ==> 2y - 3x + 4 = 0This can be rearranged in to the form "y = mx + c" where m will be the gradient==> 2y = 3x - 4==> y = 1.5x - 2 so m = 1.5Line A will also have the gradient 1.5 as it is parallel to line BWe can use the formula (y - y1) = m(x - x1)Point Q has coordinates (2,3) so x1=2 and y1=3Equation of line A ==> (y - 3) = 1.5(x - 2)Rearranged ==> y = 1.5x

Answered by sameer v. Maths tutor

1994 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Denise buys 5 apples and 3 bananas for £3.15. A banana costs 25p more than an apple. How much would it cost to buy 4 apples and 2 bananas?


How do you find the volume of a conical frustum?


Simplify (4^2)*(2^3)*16


What is the difference between a histogram and a bar chart? How can I find the frequency density?


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