A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.

Given that the equation is a straight line we know that it will take the form of y = mx + c with m as the gradient and c as the y-intercept. We can find the slope by doing (y1- y2)/(x1-x2) = m , if we sub in we get (5-7)/(1-4) = 2/3 we then have this eqn: y = 2/3x +c , we can then find c by subbing in either one of our coordinates: 5 = 2/3(1) + c = 13/3. The eqn of the line is: y = 2/3x + 13/3

Answered by Daniel R. Maths tutor

2383 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify: 5a + 2 – a + 9


Sam works for £14 per hour. When Sam works more than 8 hours a day, he is paid overtime for each hour he works more than 8 hours at 1½ times his normal rate of pay. Sam worked for 12 hours. Work out the total amount of money Sam earned.


Solve 2x^2 - 3x - 1 = 0, using the quadratic formula. Give your answer to two decimal places.


A straight line goes through (0,1), (2,5) and (4,9). The equation of the straight line is y=2x+1. Is the point (7,12) on this straight line?


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