Graphing Linear Equations

We want to draw the graph of the linear equation $y = \frac{1}{2}x$. To plot this line, we must identify at least two points that satisfy the equation.

First, let us select a simple value for the x-coordinate, such as $x = 0$. Substituting this into our equation gives $y = \frac{1}{2}(0)$, which simplifies to $y =$ . This means our first coordinate point is the origin, $(0, 0)$.

Next, to avoid fractions, let us select an even number for the x-coordinate, such as $x = 4$. Substituting this value yields $y = \frac{1}{2}(4)$, which simplifies to $y =$ .

Therefore, our second point that lies on the line is .