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The image you've provided shows a straight line on a graph. To determine the equation of the line, I will analyze the slope and y-intercept based on the graph. Let's go through the process:

### Steps:
1. **Identify two points on the line**: It looks like there's a clear point at \((6, 0)\) and another one near \((-1, 2)\).
2. **Find the slope (m)**: The slope \(m\) is calculated by the formula:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Using the points \((6, 0)\) and \((-1, 2)\):
   \[
   m = \frac{0 - 2}{6 - (-1)} = \frac{-2}{7}
   \]

3. **Use the point-slope form to find the equation**: Now that we know the slope, we can use the point-slope form of a line's equation:
   \[
   y - y_1 = m(x - x_1)
   \]
   Using the point \((6, 0)\) and \(m = -\frac{2}{7}\):
   \[
   y - 0 = -\frac{2}{7}(x - 6)
   \]
   Simplifying this equation:
   \[
   y = -\frac{2}{7}x + \frac{12}{7}
   \]

### Final Equation:
The equation of the line is:
\[
y = -\frac{2}{7}x + \frac{12}{7}
\]

Would you like further details or explanations?

Here are 5 related questions you might be interested in:
1. How do you find the equation of a line given any two points?
2. How does the slope of a line affect its steepness?
3. What is the difference between point-slope form and slope-intercept form of a line?
4. How can you determine if two lines are parallel or perpendicular?
5. What does the y-intercept of a line represent graphically?

**Tip:** To find the slope easily from a graph, use the formula \(\frac{\Delta y}{\Delta x}\) by observing the vertical and horizontal changes between two points.

Discover how to find the equation of a line passing through points (6, 0) and (-1, 2). This solution covers slope calculation, the point-slope form of a line, and how to convert it into slope-intercept form. Suitable for Grades 8-10.

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