To determine which of the given equations has a line with a slope of 3, we can recall the slope-intercept form of a linear equation:

$y = mx + b$

In this equation, $m$ represents the slope, and $b$ is the y-intercept.

Let's check the slope $m$ for each option:

• A) $y = \frac{1}{3}x$: The slope here is $\frac{1}{3}$, not 3.
• B) $y = x - 3$: The slope here is $1$, not 3.
• C) $y = 3x + 2$: The slope here is $3$, which matches the required slope.
• D) $y = 6x + 3$: The slope here is $6$, not 3.

Thus, the correct answer is C) $y = 3x + 2$.

Would you like more details or explanations?

Here are 5 related questions you can explore:

1. How can you determine the y-intercept from a linear equation?
2. What happens if the slope is negative?
3. Can a vertical line have a slope?
4. How does changing the slope affect the steepness of the line?
5. What does a slope of zero mean for the line's direction?

Tip: The larger the slope, the steeper the line will be on the graph!