# Thread: finding the midpoint of a line with Parametric form

1. ## finding the midpoint of a line with Parametric form

The title kind of sums it up really

I've been told to use the parametric form of a line to work out its midpoint and I'm completely lost

the points I have are;

A=(2,4) B=(5,9)

the parametric form of the line is

(2+3u)i + (4+5u)j

thanks in advance for the help

2. Originally Posted by El Sparko
I've been told to use the parametric form of a line to work out its midpoint and I'm completely lost the points I have are; A=(2,4) B=(5,9)
The line determined by points $A~\&~B$ is $\ell(t)=(2,4)+t(3,5)$.
So to find the midpoint between $A~\&~B$ let $t=\frac{1}{2}$.