How do you measure the gradient of a straight line joining two points?

There is a simple method for working out the gradient of a straight line joining any two points, for which the X and Y coordinates are known. For instance, if our first point is: A(X1,Y1), and our second point B(X2, Y2) then the gradient we are looking for is the gradient of the straight line AB, which joins the two points. This value is the difference in the Y coordinates, divided by the difference in the X coordinates, given by the equation: (Y2 - Y1) / (X2 - X1).

So, if the points are A(5, 2) and B(10, 4), then the gradient of the line AB would be: (4 - 2) / (10 - 5) = 2 / 5 = 0.4

AT

Related Maths GCSE answers

All answers ▸

Solve simultaneously: 3x+2y=7 & x-2y=-3


Andrew buys a Laptop for £600 which includes 20% VAT. What is the price of the Laptop without VAT?


A is the point with coordinates (5, 9) B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.


Tom is making gift bags, each of which will contain two balloons. He wants to hide a sweet in one of the balloons. 20 balloons cost £1.33, 15 sweets cost £2.05. What is the minimum he needs to spend to make 35 bags?