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To write the equation of the line in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), let's analyze the graph.

1. **Finding the slope \( m \)**:
   - The slope \( m \) is calculated as:
   \[
   m = \frac{\text{rise}}{\text{run}}
   \]
   From the graph, we can observe two points the line passes through:
   - Point 1: \( (0, 5) \) (the y-intercept)
   - Point 2: \( (5, 0) \)
   
   The rise (change in \( y \)) between these two points is \( -5 \) (from 5 to 0), and the run (change in \( x \)) is \( 5 \) (from 0 to 5).
   
   Therefore, the slope \( m \) is:
   \[
   m = \frac{-5}{5} = -1
   \]

2. **Finding the y-intercept \( b \)**:
   The y-intercept is the value of \( y \) when \( x = 0 \). From the graph, the line crosses the y-axis at \( y = 5 \). Therefore, \( b = 5 \).

Thus, the equation of the line is:
\[
y = -x + 5
\]

Would you like more details on how to interpret the graph, or any other questions?

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Here are 5 related questions to explore:

1. What is the significance of the slope in the slope-intercept form?
2. How can you find the x-intercept from the equation of a line?
3. How would the equation change if the slope was positive?
4. Can you graph a line given only its equation in slope-intercept form?
5. How can you calculate the distance between two points on a graph?

**Tip:** When finding the slope, always check for a clear vertical and horizontal distance (rise and run) between two points on the line.

Write the slope-intercept form of the given line. Include your work in your final answer.

Learn how to write the equation of a line in slope-intercept form by finding the slope and y-intercept from a graph. This tutorial covers the key concepts of slope and linear equations. Suitable for Grades 8-10.

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