SmtC: Show me the Code
Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br

Cartesian
A seriedade dos acontecimentos da minha época.
Me enche de esperança.
Karl Marx
< Congruence | By Two Points | By Point and Vector >

Line Defined by Two Points

$A=(x_a,y_a)$ and $B=(x_b,y_b)$, $x_a \neq x_b$. $y=mx+k$: \[ \begin{Bmatrix} y_a=m x_a+k \\ y_b=m x_b+k \end{Bmatrix} \qquad \Leftrightarrow \qquad \begin{Bmatrix} \displaystyle m=\frac{y_b-y_a}{x_b-x_a} \\ \displaystyle k=\frac{y_a x_b-x_a y_b}{x_b-x_a} \end{Bmatrix} \]
< Congruence | By Two Points | By Point and Vector >
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