https://file.aiquickdraw.com/mathbot/file/1728925545659jydixhsq.jpg

From the image, I can interpret the following:

1. **Given Problem**:  
   You are asked to find the slope-intercept form of a line with a slope \( m = \frac{5}{8} \) that passes through the point \( (-4, -6) \). 

2. **Equation of the Line (Slope-Intercept Form)**:  
   The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.  
   To find \( b \), substitute the given point \( (-4, -6) \) into the equation:

   \[
   -6 = \frac{5}{8}(-4) + b
   \]

   Simplifying:

   \[
   -6 = -\frac{20}{8} + b = -2.5 + b
   \]

   Solving for \( b \):

   \[
   b = -6 + 2.5 = -\frac{7}{2}
   \]

3. **Final Equation**:
   The slope-intercept form of the equation is:

   \[
   y = \frac{5}{8}x - \frac{7}{2}
   \]

   The system confirms the answer as correct: **"Well done."**

4. **Graph Interpretation**:  
   The graph tool shows a line with the corresponding equation plotted. However, it seems the points entered into the tool (P1 and P2) have unexpected coordinates:
   - P1: \( (1.241, 0) \)
   - P2: \( (1.103, -8.026) \)

   These points might be input errors or incorrect coordinates for plotting the intended line. Since the correct slope is \( \frac{5}{8} \), the graph should intersect the y-axis at \( -\frac{7}{2} = -3.5 \).

Would you like me to walk through **how to plot this line correctly**, or help with re-interpreting the graph?

---

Here are **5 follow-up questions** you could explore:

1. How do we find the equation of a line in point-slope form?
2. What is the difference between slope-intercept and standard form?
3. How do you convert slope-intercept form to standard form?
4. How does changing the slope affect the steepness of the line?
5. How would the graph change if the slope were negative?

**Tip:** For better graphing, ensure at least two key points (e.g., intercepts) are accurately calculated!

Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point m = 5/8, (-4, -6).

Learn how to find the slope-intercept form of a line with slope m = 5/8 passing through the point (-4, -6). This problem demonstrates how to solve linear equations using the slope-intercept formula y = mx + b. Suitable for students in Grades 8-10.

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