Question

2. Here is a graph of the equation x + 3y = 6. Selectall coordinate pairs that represent a solution to theequation.yt-6-4(0,2)(B.) (0,6)© (2,6)O2.468 x(D. (3,1)1-2(E.) (4, 1)(F. 16, 2))60

Answer 1

$\begin{gathered} \text{Remeber that a point belongs to the line if the equation holds. } \\ \text{ For }(0,2)\text{ notice that } \\ 0+3\cdot2\text{ = 6 } \\ \text{ Therefore }(0,2)\text{ does belong to the line. } \end{gathered}$$\begin{gathered} \text{ For }(0,6)\text{ notice that } \\ 0+3\cdot6=18\ne6 \\ \text{ Therefore }(0,6)\text{ does not belong to the line } \end{gathered}$$\begin{gathered} \text{ For }(2,6)\text{ notice that } \\ 2+3\cdot6=20\ne6 \\ \text{Therefore (2,6) does not belong to the line. } \end{gathered}$$\begin{gathered} \text{ For }(3,1)\text{ notice that } \\ 3+3\cdot1\text{ = 6} \\ \text{ Therefore }(3,1)\text{ belongs to the line } \end{gathered}$$\begin{gathered} \text{ For }(4,1)\text{ notice that } \\ 4+3\cdot1=7\ne6 \\ \text{Therefore }(4,1)\text{ does not belong to the line. } \end{gathered}$$\begin{gathered} \text{ For }(6,2)\text{ notice that } \\ 6+3\cdot2=12\ne6 \\ \text{ Therefore }(6,2)\text{ does not belong to the line} \end{gathered}$