(y2-y1) /(x1-x2) = (10000-25000) /(600-300) 

Let's solve the given equation step by step.

The equation you have is:

\[
\frac{y_2 - y_1}{x_1 - x_2} = \frac{10000 - 25000}{600 - 300}
\]

### Step 1: Simplify the right-hand side (RHS)

First, simplify both the numerator and denominator of the RHS.

- \( 10000 - 25000 = -15000 \)
- \( 600 - 300 = 300 \)

So the RHS becomes:

\[
\frac{-15000}{300}
\]

### Step 2: Perform the division

Now divide \(-15000\) by \(300\):

\[
\frac{-15000}{300} = -50
\]

### Final Result

Thus, the equation simplifies to:

\[
\frac{y_2 - y_1}{x_1 - x_2} = -50
\]

If you'd like further details or have any questions, let me know!

Here are 5 related questions to expand your understanding:

1. How do we interpret the slope when it’s negative?
2. What is the slope formula and its significance in coordinate geometry?
3. Can you calculate the slope for other pairs of points on a line?
4. What happens when \(x_1 = x_2\) in the slope formula?
5. How do you find the equation of a line using the slope and a point?

**Tip**: Always check if the denominator of the slope formula becomes zero to avoid undefined values!

(y2 - y1) / (x1 - x2) = (10000 - 25000) / (600 - 300)

Learn how to calculate the slope using the points (10000, 600) and (25000, 300). This problem walks you through the algebraic process step by step, simplifying the equation to find the slope. Suitable for students in Grades 8-10, covering the slope formula and coordinate geometry concepts.

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