Find the slope of the line that passes through (1, 3) and (8, 4).

To find the slope of the line that passes through the points \((1, 3)\) and \((8, 4)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (1, 3)\)
- \((x_2, y_2) = (8, 4)\)

Substitute the values into the formula:

\[
m = \frac{4 - 3}{8 - 1} = \frac{1}{7}
\]

So, the slope of the line is \( \frac{1}{7} \).

Would you like more details or have any questions about this?

Here are 5 related questions to explore further:
1. What is the equation of the line passing through \((1, 3)\) and \((8, 4)\)?
2. How do you find the y-intercept of a line using the slope and a point?
3. Can you find the slope of a vertical line?
4. How do you determine if two lines are parallel?
5. What is the meaning of a slope of zero?

**Tip:** A positive slope means the line rises as it moves from left to right, while a negative slope means it falls.

Learn how to find the slope of a line passing through the points (1, 3) and (8, 4) using the slope formula. This problem focuses on linear equations and is ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation