Find the equation of a straight line that passes through the points (2,7) and (5,3)

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefore, the line has the equation y = (-4/3)x + c, where c is an unknown value. To find c, put the x and y values of one of the co-ordinates into the equation. For example, considering (2,7) ; 7 = (-4/3)(2) + c.This equation can then be re-arranged to find c ; 7 = -8/3 + c , therefore c = 29/3Therefore, the equation of the straight line is; y = (-4/3)x + 29/3

Answered by Joshua N. Maths tutor

3067 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make d the subject of the formula: 3d + dxy = 4


168 is 4/7 of a number. What is the number?


How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4


The probability of getting heads on a biased coin is 0.8. You flip the coin twice. What is the probability of getting one each of heads and tails?


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