You are told that a straight line runs through 2 points: (1,1) and (2,3). What is the equation of the line?

Recall that all straight lines have the general equation y = mx + c, where m is the gradient of the line and c is the y intercept. First work out the gradient, m, of the line: Gradient = rise/run = (change in y)/(change in x): (3-1)/(2-1) = 2/1 = 2Now you know the gradient of the line, you can fill in known x and y values from one of the two points which you are given:3 = (2 x 2) + c ; 3 = 4 + c ; c = -1The equation of the line is therefore: y = 2x -1

JP
Answered by James P. Maths tutor

2568 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The number of uniform spherical shots that can be made from a given mass of lead varies inversely to the cube of the radius. When the radius is 1mm the number of shots made is 2744. How many shots of radius 1.4mm can be made from the same mass.


Factorise x² + 10x + 16


How do I divide fractions?


Solve the simultaneous equations 2x+3y=17 and 10x-y=5.


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