Graphing the linear equation $y = \frac{2x}{4}$

Question

Well, I can understand how to graph basic liner equations, for example:$$y=2x-4 .$$

The $y$-intercept would be $-4$, and the slope would be $2$. The coordinates could then be $(0,-4)$ and $(1, -2)$.

However, how would I solve a linear equation like the following?$$y = \frac{2x}{4}$$

What are the steps to find out the coordinates? The only relationship that I know that can possibly help me is: $$\frac{x}{4}=\frac{1}{4}x$$

Answer 1

$ y=mx+n $

$m$=slope

$n=y-intercept$

$-n/m=x-intercept $

Answer 2

$$ \begin{align} y & = \frac{2}{4} \\ \\ \iff y & = \frac{1}{2} + \;0 \\ &\quad\; \vdots \qquad\vdots \\ y & = m x + b \\ \\ \therefore m & = \frac 12; \quad b = 0 \\ \\ \therefore & (0, 0) \in \;\text{line} \\ \end{align} $$

And since $m = \; \text{slope} = \dfrac 12,\;\; (2, 1) \in \;\text{line}$, too.

Double check $m = \dfrac{ 1-0}{2 - 0} = \dfrac 12$