Question

Graph the following equaitons using a table. 2y=x+2

Answer 1

Given that 2y = x + 2

To graph the following equation, we need two solutions

To find x, put y = 0

$\begin{gathered} 2y\text{ = x + 2} \\ \text{Let y = 0} \\ 2(0)\text{ = x + 2} \\ 0\text{ = x + 2} \\ 0\text{ - x= 2} \\ -x\text{ = 2} \\ x\text{ = -2} \\ (-2,\text{ 0)} \end{gathered}$

To find y, put x = 0

$\begin{gathered} 2y\text{ = x + 2} \\ \text{let x = 0} \\ 2y\text{ = 0 + 2} \\ 2y\text{ = 2} \\ \text{Divide both sides by 2} \\ \frac{2y}{2}\text{ = }\frac{2}{2} \\ y\text{ = 1} \\ \text{Hence, (0, 1)} \end{gathered}$

The two solutions to be graph is (-2, 0) and (0, 1)