https://file.aiquickdraw.com/mathbot/file/1726773107624lp4iiwc5.jpg

The graph you've provided shows a straight line on a coordinate plane. Let's break down the details of the line to better understand it:

### Identifying Key Points
1. **Slope (m):**
   - The line slopes downward from left to right, indicating a **negative slope**.
   - Let's calculate the slope using two points from the graph:
     - Point 1: \((-9, 3)\)
     - Point 2: \((6, -6)\)
   - The slope formula is:
     \[
     m = \frac{y_2 - y_1}{x_2 - x_1}
     \]
     Substituting the coordinates of the points:
     \[
     m = \frac{-6 - 3}{6 - (-9)} = \frac{-9}{15} = -\frac{3}{5}
     \]
     So, the slope of the line is **-3/5**.

2. **Y-Intercept (b):**
   - The y-intercept is the point where the line crosses the y-axis.
   - From the graph, it crosses the y-axis at \( y = 0.6 \).

3. **Equation of the Line:**
   Using the slope-intercept form of a line \( y = mx + b \), where \( m = -\frac{3}{5} \) and \( b = 0.6 \), the equation of the line is:
   \[
   y = -\frac{3}{5}x + 0.6
   \]

Would you like more details or explanations on this? Here are five questions to explore further:

1. How do we interpret the slope of \(-\frac{3}{5}\) geometrically?
2. How can we verify the y-intercept from the graph?
3. Can we rewrite the equation in point-slope form instead of slope-intercept form?
4. What happens to the line if we change the slope to a different value, like \(-1\)?
5. How do we find the x-intercept of this line?

**Tip:** To find the x-intercept of a line, set \( y = 0 \) in the equation and solve for \( x \).

Graph of a straight line showing the relationship between x and y on a coordinate plane.

Explore the graph of a straight line with a slope of -3/5 and a y-intercept of 0.6. Learn how to derive the equation of the line using slope-intercept form and interpret the geometric meaning of the slope. Suitable for students in Grades 8-10.

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