Question

I don't know why I can't think (maybe because its late) but can someone answer this along with a clear explanation? Thanks

Answer 1

$A=(0,1); \ \ \ B=(1,0)$


y = ax+b


$\pmb{1^{o}} \\ \\ \begin{cases} 1 = 0*a + b \\ 0 = 1*a + b \end{cases} \\ \\ \begin{cases} b = 1 \\ a+b = 0\end{cases} \\ \\ \begin{cases} b = 1 \\ a+1 = 0 \end{cases} \\ \\ \begin{cases} b = 1 \\ a = -1 \end{cases} \\ \\ \\ y = -x +1 \\ \\ y+x = 1 \\ \\ \boxed{4y+4x = 4}$



$\pmb{2^{o}} \\ \\ If \ A=(x_{1}, y_{1}); \ \ \ B = (x_{2},y_{2}) \\ \\ (x_{2} - x_{1}) (y - y_{1})=(y_{2}-y_{1})(x -x_{1}) \\ \\ (1 - 0)(y - 1)=(0 - 1)(x - 0) \\ \\ y - 1 = -x \\ \\ y+x = 1 \\ \\ \boxed{4y+4x = 4}$