- #1
John O' Meara
- 330
- 0
Homework Statement
Show (by eliminating the parameter) that the equations,[tex] x=x_{0}+(x_{1}-x_{0})t[/tex], [tex] y=y_{0}+(y_{1}-y_{0})t [/tex], represent the line passing through the points [tex] (x_{0},y_{0}),(x_{1},y_{1}) [/tex].
Homework Equations
The Attempt at a Solution
I get [tex]t=\frac{x-x_{0}}{x_{1}-x_{0}}=\frac{y-y_{0}}{y_{1}-y_{0}}[/tex]. And further I then get [tex]y=mx-mx_{0}+y_{0}[/tex], where, [tex] m=\frac{y_{1}-y_{0}}{x_{1}-x_{0}}[/tex]. I feel that this is not the answer to the question but if it isn't, I do not know what is? Thanks.