https://file.aiquickdraw.com/mathbot/file/1725851550728imjinh1c.jpg

To find the slope and y-intercept for the given line on the graph, let's follow these steps:

1. **Determine the Slope:**
   The slope of a line is calculated by the formula:

   \[
   \text{slope} (m) = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
   \]

   We need two points on the line to calculate the slope. From the image, we can select the points \((-5, -4)\) and \((0, 0)\) where the line crosses the grid points.

   Plugging these points into the formula gives:

   \[
   m = \frac{0 - (-4)}{0 - (-5)} = \frac{4}{5} = 0.8
   \]

   So, the **slope** is \(0.8\).

2. **Find the y-intercept:**
   The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at \(y = 0\).

   Thus, the **y-intercept** is \(0\).

3. **Equation in Slope-Intercept Form:**
   The slope-intercept form of a line is:

   \[
   y = mx + b
   \]

   where \(m\) is the slope and \(b\) is the y-intercept. Substituting the values, we get:

   \[
   y = 0.8x + 0 \quad \text{or simply} \quad y = 0.8x.
   \]

### Summary:
- **Slope**: \(0.8\)
- **y-intercept**: \(0\)
- **Equation in slope-intercept form**: \(y = 0.8x\)

Would you like more details or have any questions about this process?

### Further Questions:
1. How do you calculate the slope if the line is vertical or horizontal?
2. What is the general form of a linear equation?
3. How can you find the x-intercept of a line from its equation?
4. What are some real-life applications of slope in mathematics?
5. How do you graph a line if you know its slope and y-intercept?

**Tip:** When identifying points on a graph, choose points where the line clearly crosses grid intersections for accurate calculations.

Find the slope and y-intercept for the line.

Learn how to find the slope and y-intercept from a line on a graph using points (-5, -4) and (0, 0). This problem covers key algebraic concepts such as calculating the slope and determining the equation of the line in slope-intercept form, suitable for students in Grades 6-8.

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