https://file.aiquickdraw.com/mathbot/file/1728750647352ki6j63q7.jpg

The image shows a line passing through two points: $(2005, 23000)$ and $(2015, 35000)$, where the $x$-axis represents the year, and the $y$-axis represents the cost in dollars.

To find the slope $m$ of the line passing through these two points, we use the slope formula:

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

where $(x_1, y_1) = (2005, 23000)$ and $(x_2, y_2) = (2015, 35000)$.

Substitute the values:

\[
m = \frac{35000 - 23000}{2015 - 2005} = \frac{12000}{10} = 1200
\]

Thus, the slope $m = 1200$.

This means the tuition costs increased by $1200 per year between 2005 and 2015.

Would you like more details on this, or do you have further questions?

Here are 5 related questions:
1. What is the equation of the line passing through these two points?
2. How much would the tuition cost be in 2020 if the trend continued?
3. What was the percentage increase in tuition fees from 2005 to 2015?
4. How would you interpret the slope in terms of college tuition trends?
5. If the tuition had increased by $1000 per year instead, what would the cost have been in 2015?

**Tip:** The slope of a line gives you a rate of change—it's helpful in real-world problems like predicting future values based on trends!

What is the slope m of a line passing through (2005,23000) and (2015,35000)?

Learn how to calculate the slope between the points (2005,23000) and (2015,35000) using the slope formula. This real-world problem illustrates the rate of increase in tuition costs over time. Suitable for students in Grades 8-10.

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