To graph the equation $3x = y$, we can rewrite it in slope-intercept form:

$y = 3x$

This is a linear equation where the slope $m = 3$ and the y-intercept $b = 0$.

Steps to graph:

1. Plot the y-intercept: The y-intercept is 0, meaning the line passes through the origin (0, 0).
2. Use the slope: The slope is 3, which means for every 1 unit you move to the right on the x-axis, you move up 3 units on the y-axis.
3. Draw the line: After plotting the point (0, 0), move 1 unit to the right and 3 units up to plot the point (1, 3). Do the same in the opposite direction for the point (-1, -3).
4. Connect the points: Draw a straight line through these points.

The graph will be a straight line passing through the origin and sloping upwards steeply, since the slope is 3.

Would you like to see the graph visualized, or do you have any further questions on this?

Related Questions:

1. How do we find the slope and intercept from a linear equation?
2. How would the graph change if the equation was $3x + 2 = y$?
3. How do you graph an equation like $y = -2x + 4$?
4. What is the meaning of the slope in real-world applications?
5. How would the graph change if the equation was $y = \frac{1}{2}x$?

Tip: To graph any linear equation, always start by plotting the y-intercept, then use the slope to find more points.