https://file.aiquickdraw.com/mathbot/file/1725903930904nv2sklaz.jpg

To find the slope \( m \) of the line passing through the two points, we use the slope formula:

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

From the given points:
- Point 1: \( (x_1, y_1) = (4, 0) \)
- Point 2: \( (x_2, y_2) = (6, 2) \)

Substitute these values into the formula:

\[
m = \frac{2 - 0}{6 - 4} = \frac{2}{2} = 1
\]

Thus, the slope \( m \) is \( 1 \).

Would you like more details or further clarifications? 

Here are 5 related questions to consider:
1. What is the significance of a slope value of 1 in a line's behavior?
2. How would the slope change if Point 1 were \( (4, 2) \) and Point 2 \( (6, 0) \)?
3. What does a slope of 0 mean for a line?
4. How do you find the equation of the line once you have the slope and a point?
5. Can you determine the y-intercept from the given information?

**Tip**: The slope of a line indicates the steepness or incline of the line. A positive slope means the line ascends, while a negative slope means it descends.

Find the slope of the line that passes through the points (4,0) and (6,2).

Learn how to find the slope of the line that passes through the points (4,0) and (6,2) using the slope formula. This problem is ideal for students in Grades 7-9 and covers key concepts in Algebra and Coordinate Geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation