Question

Em cada caso, determine a equação segmentaria da reta r que passa pelos pontos N e P:


a) N(0,2) e P(9,0)

b) N(0,-5) e P(-3,0)

c) N(3,2) e P(-1,-6)

Answer 1

LETRA A)
$\left[\begin{array}{ccc}0&2&1\\9&0&1\\x&y&1\end{array}\right] =0\\\\ \boxed{2x+9y-18=0}$

LETRA B)
$\left[\begin{array}{ccc}0&-5&1\\-3&0&1\\x&y&1\end{array}\right] =0\\\\ -5x-3y-15=0 *(-1)\\ \boxed{5x+3y+15=0}$

LETRA C)
$\left[\begin{array}{ccc}3&2&1\\-1&-6&1\\x&y&1\end{array}\right] =0\\\\ 2x-y-18+6x+2-3y=0\\ \boxed{8x-4x-16=0}$