https://file.aiquickdraw.com/mathbot/file/1731947083762x3ubi4ha.jpg

Let's analyze the graph to find the equation in slope-intercept form (\(y = mx + b\)).

### Step 1: Find the slope (\(m\))
The slope (\(m\)) is calculated using the formula:
\[
m = \frac{\text{rise}}{\text{run}}
\]

From the graph:
- The line goes **down** from \(y = 10\) to \(y = 2\) (a "rise" of \(-8\)).
- The line moves **right** from \(x = 2\) to \(x = 6\) (a "run" of \(4\)).

So, the slope is:
\[
m = \frac{-8}{4} = -2
\]

### Step 2: Find the y-intercept (\(b\))
The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at \(y = 10\). So, \(b = 10\).

### Step 3: Write the equation
The equation is:
\[
y = -2x + 10
\]

### Spaces:
1. In **Space 1**, put the slope: \(-2\).
2. In **Space 2**, put the operation: \(+\).
3. In **Space 3**, put the constant: \(10\).

The final equation is:
\[
y = -2x + 10
\]

Would you like further clarification or details?  

Here are 5 related questions for practice:
1. How would the equation change if the slope were positive instead of negative?
2. What does the y-intercept represent in real-world applications of linear equations?
3. Can you calculate the x-intercept for this line?
4. How would the equation change if the line passed through the origin?
5. What is the slope of a line perpendicular to this one?

**Tip:** Always check the graph carefully for rise and run to avoid sign errors in slope calculations.

Write an equation in slope-intercept form to represent the linear relationship on the graph.

Learn how to find the equation of a line in slope-intercept form (y = mx + b) based on a given graph. Understand how to determine the slope and y-intercept by examining the graph.

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