How do you find the y-axis intercept of a straight line?

Using the equation of a straight line: y = mx + c (c is the y axis intercept, m is the gradient and y and x are points on the line (x,y))

e.g. if the gradient of the line was 3 and the line passes through the point (4,5) the equation would look like:

5 = 3(4) + c

5 = 12 + c

Rearrange:

c = -7 and therefore the line intercepts the y axis at (0,-7)

EJ
Answered by Emily Jane B. Maths tutor

4561 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out the values of x and y using the equations 2x + 3y = 18 and x + y = 6


In a box, there is 1 more green pens than black pens. The probability of taking 2 black pens is 0.2 . How many pens are in the box?


Expand and simplify (x-3)(3x+5)


Solve the following pair of simultaneous equations; 10x+4y=15, 2x+y=7


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning