Let's solve the questions based on the graph you provided:

1. Slope Calculation: To find the slope of the line, we can use the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Looking at two clear points on the graph:

   • The line passes through $(-10, 0)$ and $(0, -4)$.

   Applying these coordinates to the slope formula: $m = \frac{-4 - 0}{0 - (-10)} = \frac{-4}{10} = -\frac{2}{5}$ So, the slope is $-\frac{2}{5}$.

2. 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 $(0, -4)$. Therefore, the y-intercept is $(0, -4)$.

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.

   We already know that the slope $m = -\frac{2}{5}$ and the y-intercept $b = -4$. Substituting these values into the equation: $y = -\frac{2}{5}x - 4$

Thus, the answers are:

• Slope: $-\frac{2}{5}$
• Y-Intercept: $(0, -4)$
• Equation: $y = -\frac{2}{5}x - 4$

Would you like any additional details or clarifications? Here are 5 related questions to practice:

1. What is the slope if the line passes through $(2, 3)$ and $(4, 7)$?
2. How do you calculate the y-intercept from an equation in standard form?
3. How would the slope and y-intercept change if the line were steeper?
4. What would the equation be if the slope was positive $\frac{2}{5}$?
5. How can you convert an equation from slope-intercept form to standard form?

Tip: When calculating slope, always choose points that are easy to read from the graph to avoid mistakes.