Question

ecuatia dreptei a(4,0) B(0,2)

Answer 1

$A(4,0);\quad B(0,2)$

$d_{AB}: \left|\begin{array}{ccc}x&y&1\\x_A&y_A&1\\x_B&y_B&1\end{array}\right| = 0 \quad \Leftrightarrow \quad d_{AB}: \left|\begin{array}{ccc}x&y&1\\4&0&1\\0&2&1\end{array}\right| = 0 \quad \Leftrightarrow \\ \\ \\ \Leftrightarrow d_{AB}: 0+8+0-0-2x-4y = 0 \quad \Leftrightarrow \quad d_{AB}: 2x+4y-8=0 \Leftrightarrow \\ \\ \Leftrightarrow \boxed{d_{AB}: x+2y-4 = 0}$