Question

A função do 1º grau f(x) = ax + b que passa pelos pontos (0,2) e (1,3) é dada por:

Answer 1

$\begin{vmatrix}x&y&1\\x_1&y_1&1\\x_2&y_2&1\end{vmatrix}=0\\\\\\\begin{vmatrix}x&y&1&|&x&y\\0&2&1&|&0&2\\1&3&1&|&1&3\end{vmatrix}=0\\\\2x+y+0-2-3x-0=0\\\\-x+y-2=0\\\\\boxed{y=x+2}$