The image shows a coordinate plane with the equation $y = 2x$ written above it. This is the equation of a straight line with a slope of 2 and a y-intercept of 0, meaning it passes through the origin (0, 0) and has a steepness represented by the slope 2.

To plot the line:

• Start at the origin (0, 0).
• Use the slope $\frac{\Delta y}{\Delta x} = 2$, meaning for every 1 unit increase in $x$, $y$ increases by 2 units. So the next point could be (1, 2).
• Another point is at (-1, -2), following the same slope in the negative direction.

These points help define the line, which extends infinitely in both directions.

Would you like further details about how to graph or interpret this?

Here are some follow-up questions to deepen your understanding:

1. What does the slope of 2 indicate in terms of the steepness of the line?
2. How would the graph change if the slope were negative?
3. What would happen if the equation had a constant added, like $y = 2x + 3$?
4. How do we find the x- and y-intercepts of this line?
5. How does the slope-intercept form $y = mx + b$ apply to this equation?

Tip: In the equation $y = mx + b$, $m$ represents the slope and $b$ the y-intercept.