What is the slope of the line containing (5, 5) and (0, 2)?



To find the slope \( m \) of the line containing the points \( (5, 5) \) and \( (0, 2) \), you can use the slope formula:

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

Here, we can assign:
- \( (x_1, y_1) = (5, 5) \)
- \( (x_2, y_2) = (0, 2) \)

Substituting these values into the formula:

\[
m = \frac{2 - 5}{0 - 5} = \frac{-3}{-5} = \frac{3}{5}
\]

Thus, the slope of the line is \( \frac{3}{5} \).

Would you like more details or have any questions? Here are some related questions you might consider:

1. What is the equation of the line in slope-intercept form?
2. How would you graph this line on a coordinate plane?
3. What is the significance of the slope in real-world scenarios?
4. How do you determine if two lines are parallel or perpendicular?
5. Can you calculate the slope of a vertical line? 

**Tip:** Remember that the slope represents the steepness and direction of a line.

What is the slope of the line containing (5, 5) and (0, 2)?

Discover how to calculate the slope of a line given two points, (5, 5) and (0, 2). This detailed explanation covers the slope formula and its application, making it ideal for students in Grades 6-8.

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