(Solved): a=1, b=10, c=3, d=2 5 (1c) Write answers on this side and show work on pages following this one ...

a=1, b=10, c=3, d=2

5 (1c) Write answers on this side and show work on pages following this one numbered 1120,1121 , etc. using as many as you need. Define: $S:=\left\{(x,y)\in {\mathbb{R}}^2\mid ax+by+c=0\right\}$ My $S:=\left\{(x,y)\in {\mathbb{R}}^2\mid ()x+()y+()=0\right\}$ Note that $P$ and $Q$ are required to be distinct points. 1 (i) Find $P:=\left(p_1,p_2\right)=(,)\in S$ and prove your asertion. 1 (ii) Find $Q:=\left(q_1,q_2\right)=(,)\in S$ and prove your assertion. 3 (iii) Decide if $S=SL(P,Q)$ that is, if the striaght line through the points $P$ and $Q$ is precisely the set $S$.