The equation given is $y = 2x$, which represents a linear function. Here's how we can graph this line:

1. Identify the slope and y-intercept:

   • The slope (denoted as $m$) is the coefficient of $x$, which is 2.
   • The y-intercept (where the line crosses the y-axis) is 0, since there is no constant term added to $2x$.

2. Plot the y-intercept:

   • The point $(0, 0)$ is the y-intercept, so we can mark this as the starting point.

3. Use the slope to find additional points:

   • The slope of 2 means that for every increase of 1 unit in $x$, $y$ increases by 2 units.
   • Starting from $(0, 0)$, move 1 unit to the right along the $x$-axis and 2 units up. This gives you the point $(1, 2)$.
   • Similarly, from $(0, 0)$, move 1 unit to the left (negative direction on the $x$-axis) and 2 units down. This gives you the point $(-1, -2)$.

4. Draw the line:

   • Connect the points $(0, 0)$, $(1, 2)$, and $(-1, -2)$ with a straight line. This will be the graph of $y = 2x$.

Would you like me to plot this on the graph for you? Let me know if you'd like further details or have any questions!

Here are some follow-up questions for practice:

1. How would the graph change if the equation was $y = -2x$?
2. What is the slope of the line $y = 3x - 1$?
3. How do you determine if two lines are parallel based on their equations?
4. What does the slope of a line represent in a real-world context?
5. What is the equation of a line with a slope of 0?

Tip: The slope-intercept form of a line, $y = mx + b$, is a quick way to graph lines. Here, $m$ is the slope, and $b$ is the y-intercept.