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Here are the equations of the two lines based on the given points:

1. **Line 1 (through points \( (3, 1) \) and \( (0, -3) \)):**
   \[
   y = 1.33x - 3
   \]
   - Slope (\( m \)): 1.33
   - Intercept (\( b \)): -3

2. **Line 2 (through points \( (-1, -5) \) and \( (4, -2) \)):**
   \[
   y = 0.6x - 4.4
   \]
   - Slope (\( m \)): 0.6
   - Intercept (\( b \)): -4.4

Would you like more details or have any questions?

Here are five related questions:
1. How do you find the slope of a line from two points?
2. How can you verify if a point lies on a line equation?
3. What is the difference between slope-intercept and point-slope form?
4. How do parallel lines relate in terms of their slopes?
5. What is the geometric interpretation of the y-intercept?

**Tip:** The slope of a line represents the rate of change of y with respect to x, or the steepness of the line.

Solve for the equations of the lines that pass through the points (3, 1) and (0, -3) for line 1, and (-1, -5) and (4, -2) for line 2.

Solve for the equations of two lines: one passing through points (3, 1) and (0, -3), and the other through points (-1, -5) and (4, -2). Learn to use the slope formula and the slope-intercept form to derive linear equations, suitable for students in Grades 8-10.

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