4.) Determine the slope of the line that contains the given points.    

𝐴(0,5),𝐵(5,0)

To determine the slope of the line that contains two points \( A(0,5) \) and \( B(5,0) \), we can use the slope formula:

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

Where:
- \( (x_1, y_1) \) are the coordinates of point \( A \) 
- \( (x_2, y_2) \) are the coordinates of point \( B \)

Using the given points:
- \( A(0,5) \), so \( x_1 = 0 \), \( y_1 = 5 \)
- \( B(5,0) \), so \( x_2 = 5 \), \( y_2 = 0 \)

Substitute these values into the slope formula:

\[
m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1
\]

Thus, the slope of the line is:

\[
m = -1
\]

Would you like further details or explanations?

Here are 5 related questions to expand your understanding:
1. What is the slope of a vertical line?
2. How do you find the equation of a line given two points?
3. What does a slope of -1 mean geometrically?
4. Can the slope of a line be zero, and what does that indicate?
5. How would you calculate the slope if one point lies on the origin?

**Tip:** The slope tells us how steep a line is; a negative slope indicates the line is sloping downward from left to right.

Determine the slope of the line that contains the given points A(0,5), B(5,0).

Learn how to find the slope of the line that passes through the points A(0,5) and B(5,0). This step-by-step solution uses the slope formula and explains key concepts in algebra, suitable for students in Grades 6-8.

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