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.