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

12718 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the length of the hypotenuse if the right angled triangle's other two sides are of length 5cm and 12cm.


A is the point with coordinates (1, 3) B is the point with coordinates (–2, –1) The line L has equation 3y = 4 – 2x Is line L parallel to AB?


Write (x-2)/3 + (x+3)/5 as a single fraction


There are 150 men, women and children on a plane. For every 7 men there are 2 women, and for every 1 woman there are 3 children. How many men are on the plane?


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