To write the equation of the line shown in the image, we can use the slope-intercept form, which is given by:

$y = mx + b$

where $m$ is the slope and $b$ is the y-intercept.

Step 1: Identify the slope

The slope is provided in the image as $m = 3$.

Step 2: Find the y-intercept

The line passes through the origin (0,0), so the y-intercept $b$ is 0.

Step 3: Write the equation

Plugging $m = 3$ and $b = 0$ into the slope-intercept form gives:

$y = 3x$

Thus, the equation of the line is $y = 3x$.

Would you like further details or have any questions?

Here are some related questions to consider:

1. How do we find the slope if it isn't given directly?
2. What is the point-slope form of a linear equation?
3. How does changing the slope affect the steepness of the line?
4. What happens to the equation if the y-intercept changes?
5. How can we write an equation for a vertical line?

Tip: The slope-intercept form is most useful when you know the slope and the y-intercept. If you have a point and the slope, you can also find the equation using the point-slope form.