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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.

What is the slope of (a)? (Equation: y = 5x - 3)

Learn how to find the slope of a linear equation given in slope-intercept form. This problem demonstrates the slope-intercept formula y = mx + b, where the slope m is 5. Suitable for Grades 8-10, and ideal for understanding the basics of linear equations and slopes.

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