A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.

The first thing to do is to look at the points given and decide if you are going to get a negative or positive gradient. We can determine, from inspection that the gradient will be negative because as the x value increases the y value decreases along the line. So we can calculate the gradient m=(y2-y1)/(x2-x1) m=5-2/4-9 m=3/-5 m=-3/5 Now we can calculate the equation of the straight line. y=mx+c pick one of the co-ordinates and sub in their x and y values I'll use (5,4) 4=-3/5*5+c 4=-3+c c=7 y=(-3/5)x+7

Answered by Liam M. Maths tutor

4173 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A line intercepts point A at (4,4) and point B (8,12). Find the gradient and the intercept of the line.


x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99


solve for x: (x-2)(x+3)=2(2x+11)


I don't understand how to solve quadratic inequalities?


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