To find the slope and the y-intercept of the given linear equation $y = 6x$, let's break it down:

The general form of a linear equation is:

$y = mx + b$

where:

• $m$ is the slope, and
• $b$ is the y-intercept.

In the equation $y = 6x$:

• The slope $m$ is the coefficient of $x$, which is $6$.
• The y-intercept $b$ is the constant term, which is $0$ because there is no constant term added to $6x$.

Therefore:

• The slope is 6.
• The y-intercept is 0.

Would you like more details on this? Here are five related questions for further exploration:

1. What does a slope of 6 indicate about the steepness of the line?
2. How would the equation change if the y-intercept were $b = 2$?
3. Can you graph this line using the slope and y-intercept?
4. How would the graph look if the slope were negative instead of positive?
5. How can you use the slope-intercept form to find the equation of a line given two points?

Tip: To graph a line, start by plotting the y-intercept and then use the slope to find another point on the line!