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It looks like you've uploaded a math homework document. I can help you solve or explain the problems listed in the "Assignment Problem" section. Let's take a look at the questions presented:

1. **Find the slope and x, y-intercepts of the line \( 3y + 2x = 6 \) and draw it.**
2. **Find the equation of the straight line passing through \( (5, 1) \) with slope \( \frac{1}{2} \) and draw it.**
3. **Find the equation of a line passing through \( (3, -2) \) and \( (1, 6) \) and sketch it.**
4. **Express the price of soda as a function of time and determine the price at the beginning of the year based on the provided rate of change.**
5. **Manufacturing cost and profit function problem:**
   - Express the cost \( C(x) \) and revenue \( R(x) \).
   - Find the profit function and the profit for producing 2,000 units.
6. **Cost of manufacturing tennis rackets:**
   - Find and graph the total daily cost and interpret the slope and intercept.
7. **Supply and demand of corn:**
   - Solve for price-supply and price-demand equations, and determine the equilibrium point.
8. **Profit function for producing radios:**
   - Find the optimal price to maximize profit.

Let me know which specific problem you'd like help with, and I'll walk you through the solution! Would you like assistance on a specific one of these, or should I pick one to explain in detail?

Also, here's a list of related questions to expand on:

1. How do you calculate the slope and intercepts of a linear equation?
2. How do you find the equation of a line given two points?
3. What is the relationship between cost, revenue, and profit functions?
4. How do you interpret the slope in a real-world problem?
5. How do supply and demand equations determine equilibrium price?

**Tip:** When solving for a line equation, always express it in slope-intercept form \( y = mx + b \) for easy graphing and interpretation.

Solve various linear algebra problems, including finding the slope, intercepts, cost and revenue functions, and equilibrium points from given equations and real-world scenarios.

Learn how to solve linear equations, graph lines, and analyze cost, revenue, and profit functions. This lesson includes real-world applications such as calculating the slope, intercepts, and finding the equilibrium point in supply and demand analysis.

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