The Concept of Slope – Multi-Part Math Question

I'm currently reviewing algebra concepts, and I'm having trouble fully understanding the idea of slope and how to apply it in different situations. I’ve come up with a multi-part question below and would appreciate a detailed explanation for each part. Please help me break it down step-by-step so I can learn how to approach these kinds of problems on my own.

Part A:

Given the two points A(3, -2) and B(7, 4),

Find the slope of the line that passes through these two points.

Explain the formula for calculating slope and show each step in detail.

Describe in words what the slope value represents in this case (e.g., direction, steepness, positive/negative, etc.).

Part B:

Suppose point B is moved to a new position, B'(7, -2).

What is the new slope of the line between A(3, -2) and B'(7, -2)?

How does this new slope compare to the one in Part A?

What kind of line is formed in this case (e.g., horizontal, vertical, diagonal)? Please explain why.

Part C:

Now try switching the y-values of the two original points:

Let’s use C(3, 4) and D(7, -2).

Calculate the slope between these new points.

How does this slope compare in value and direction to the original slope between A and B?

What would happen to the slope if both x-values were the same instead (e.g., C(5, 4) and D(5, -2))? What kind of line would that create?