Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation

y + 4x = 7     to      y = −4x + 7

So we can see that the gradient of this equation is −4.

Since the line we are looking for is parallel, it must have the same gradient, −4.

So now we know we have a line for equation:

y = −4x + m

which passes through the point ( 2, −3).

We can set the values into the equation to find m:

−3 = −4 x 2 + m

−3 = −8 + m               

Now we add 8 to both sides

5 = m

So we see that the value of m is 5 and the equation we are looking for is:

y = −4x + 5

Answered by David-Ruben S. Maths tutor

13346 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do we factorise an expression?


Vectors


How would you work out how much money each Fred and Julie get if they share £60 in a 5:7 ratio?


A rectangle has an area of 20cm^2. Its length and width are enlarged by a factor of 3. Find the area of the enlarged rectangle.


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