A perceptron is needed to classify two sets of patterns given as:

class $(1)$: $T=[3,0{]}^{\text{'}},U=[2,1\mathrm{.}5{]}^{\text{'}},V=[1,3{]}^{\text{'}},$ target value $-1$

class $(2)$: $x=[-1,0{]}^{\text{'}},Y=[-2,0{]}^{\text{'}}Z=[-1,2{]}^{\text{'}},$ target value $1$

$($a$)$ Choose $$ as $0\mathrm{.}5$ and get the boundary line that separates the two classes.