Question $8$ suppose you have trained a perceptron algorith on a binary classification using the following dataset

$x1,x2,Y$

$-1,-1,1$

$0\mathrm{.}5,-0\mathrm{.}5,1$

$1,0\mathrm{.}5,0$

$-0\mathrm{.}5,1,0$

After training the decision boundary of the perceptron is a straight line passing through the origin that separates the positive and negative examples. the activation function is $($if $v0,y=1,$ else $y=0)$ which of the following options represents the trained weights of this perceptron

$w0=0w1=-1w2=-2$

$w0=0w1=1w2=2$

$w0=1w1=1w2=2$

$w0=1w1=-1w2=-2$

question $9$ wants you to just explain how you got $8$