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:

= −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:

= −4x + 5

Answered by James K. Maths tutor

5128 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Using the quadratics formula find the two solutions to x^2 + 3x + 2 = 0.


The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence.


Solve for x: 4 x + 1 = 2 x + 12


There are 720 boys in a school and 700 girls. The probability that a girl chosen at random studies french is 3/5 and the probability that a boy chosen at random studies french is 2/3. What is the total number of students in the school that study french?


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