How to find the equation of a line from a graph?

Location of two points that lie on the line is needed to define an equation of the line. The general equation of a line is in the form y = mx + c, where m is the gradient of the line and c is the y coordinate of the point where the line intercepts the y-axis. Gradient (slope) is defined as the change in Y/ change in X. We substitute the gradient of our line for m and the y coordinate of the y-axis intercept for c to get the equation of the line. When a value of an x coordinate of a point is substituted for x in the equation, the result that we will get after solving for y is the y coordinate of a point that lies on the line.

Answered by Tomas K. Maths tutor

2598 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the Simultaneous equations 4x - y = 8 and x + y = 12


A right-angled triangle has base 10cm and height 4cm. What is the area of the triangle?


Johnny take 4 hours 50 minutes to drive 213 miles to Manchester. He then takes the train to Liverpool. Liverpool is 37 miles from Manchester and the train travels at 90mph. Calculate Johnny's average speed for his total journey in mph.


How would you solve the simultaneous equations 2x + y = 7 and 3x - y = 8


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