The problem asks for the slope of the line in equation (a), which is given as:

$y = 5x - 3$

This equation is already in slope-intercept form, which is written as:

$y = mx + b$

Where:

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

From the equation $y = 5x - 3$, we can see that the slope $m$ is 5.

Thus, the slope of line (a) is 5.

Would you like more details or have any questions about this?

Here are five follow-up questions based on this:

1. What is the slope of line (b) if you rewrite it in slope-intercept form?
2. How do you determine if two lines are parallel?
3. How do you determine if two lines are perpendicular?
4. What is the y-intercept of line (a)?
5. How does changing the slope affect the angle of the line?

Tip: Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.