https://file.aiquickdraw.com/mathbot/file/17286578456440hk0r0cc.jpg

To calculate the slope of the line segment connecting the points \((5, 94)\) and \((10, 189)\), we use the slope formula:

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

where \((x_1, y_1)\) is the first point \((5, 94)\), and \((x_2, y_2)\) is the second point \((10, 189)\).

Let's substitute the values:

\[
m = \frac{{189 - 94}}{{10 - 5}} = \frac{{95}}{{5}} = 19
\]

Thus, the slope of the line segment connecting the points \((5, 94)\) and \((10, 189)\) is **19**.

Would you like more details or have any questions about this? Here are some related questions to explore:

1. What is the slope of the line segment between \((10, 189)\) and \((15, 286)\)?
2. How can the slope be interpreted in terms of the vehicle's fuel efficiency?
3. Is the relationship between \(x\) and \(y\) linear based on the slopes between consecutive points?
4. What would the total distance be for 25 gallons of gasoline, assuming the trend continues?
5. How would you calculate the average rate of change over a larger interval of gallons used?

**Tip:** The slope represents the rate of change, so in this context, it tells us how many miles are traveled per gallon of gasoline used.

Calculate the slope of the line segment connecting the points (5, 94) and (10, 189).

Learn how to calculate the slope of a line segment connecting the points (5, 94) and (10, 189) using the slope formula. This problem introduces key concepts in coordinate geometry and algebra, and is suitable for students in Grades 6-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation