Finding the locus of z1+t(z2-z1) for real parameter t

[kathrynag]

Homework Statement

Given z1 and z2 as fixed points describe the locus of the point z1+t(z2-z1)
a)t is real
b)0<t<1

Homework Equations

The Attempt at a Solution

My problem is that I don't even understand what a locus is.
b)z1 or z2 if t is 1.

 

[tiny-tim]

Hi kathrynag!

My problem is that I don't even understand what a locus is..

You get plagues of locuses … they're the curves described by the Israelites when they left Egypt.

At t = 0, Moses was at position z1, and at t = 1 he was at position z2 …

so where was he at a general time t, between 0 and 1? ​

 

[kathrynag]

Hi kathrynag!


You get plagues of locuses … they're the curves described by the Israelites when they left Egypt.

At t = 0, Moses was at position z1, and at t = 1 he was at position z2 …

so where was he at a general time t, between 0 and 1? ​

between z1 and z2?

 

[tiny-tim]

between z1 and z2?

well … yeah … but where exactly … and why?