First we use the two given points (*p*1, *q*1) = (6, 24,000) and (*p*2, *q*2) = (10, 12,000) to find the slope *m*.




*m*

 = 

Δ*q*

Δ*p*
 
 = 

*q*2 − *q*1

*p*2 − *p*1
 
 = 

12,000 − 24,000

10 − 
 
 = 

Let's find the slope (*m*) step by step:

The formula for slope is given as:

\[
m = \frac{\Delta q}{\Delta p} = \frac{q_2 - q_1}{p_2 - p_1}
\]

We are given the points:

\[
(p_1, q_1) = (6, 24,000), \quad (p_2, q_2) = (10, 12,000)
\]

Now, plug the values into the formula:

\[
m = \frac{12,000 - 24,000}{10 - 6} = \frac{-12,000}{4} = -3,000
\]

So, the slope *m* is:

\[
m = -3,000
\]

Would you like more details on this? Or do you have any questions?

Here are 5 related questions you could explore:
1. What does the negative slope indicate in this context?
2. How would you write the equation of the line using the point-slope form?
3. How can you interpret the rate of change based on the slope?
4. If the points were reversed, how would the slope calculation differ?
5. What is the y-intercept if the slope is -3,000?

**Tip:** When calculating slope, always check if the result is positive or negative to understand the direction of the relationship.

First we use the two given points (p1, q1) = (6, 24,000) and (p2, q2) = (10, 12,000) to find the slope m.

Learn how to calculate the slope of a line using two points: (6, 24,000) and (10, 12,000). This problem focuses on key algebra concepts like the slope formula and linear relationships, suitable for Grades 7-9.

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