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The document you uploaded contains a series of mathematics problems, likely from a business math quiz. Here are the questions and a brief explanation of how to solve them:

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### 1. **Find the demand function that passes through the points (3, 3) and (2, 4):**
   - This is asking for the equation of a line given two points.
   - Use the slope formula:  
     \[
     m = \frac{y_2 - y_1}{x_2 - x_1}
     \]
     Then use the point-slope form \(y - y_1 = m(x - x_1)\) to find the equation of the line.

### 2. **Find the intersection point of the following lines: \(Y = 2 + 2x\) and \(Y = 10 - 2x\):**
   - Set the two equations equal to each other and solve for \(x\). Then substitute \(x\) back into one of the equations to find \(y\).

### 3. **Find the slope of the line passing through points A (2, 8) and B (4, 5):**
   - Again, use the slope formula to find the slope between these two points.

### 4. **Find the equation of the line passing through the point (4, 1) with a slope of 2:**
   - Use the point-slope form of a line equation \(y - y_1 = m(x - x_1)\) to find the equation of the line.

### 5. **Find the value of \(a\) so that the line \(Y = ax + 2\) is parallel to the line passing through points (2, 4) and (3, 1):**
   -

The document contains the following math problems:
1. Find the demand function that passes through the points (3,3) and (2,4).
2. Find the intersection point of the lines Y = 2 + 2x and Y = 10 - 2x.
3. Calculate the slope of the line passing through points A(2,8) and B(4,5).
4. Find the equation of the line passing through point (4,1) with a slope of 2.
5. Find the value of a such that the line Y = ax + 2 is parallel to the line through points (2,4) and (3,1).

This page provides step-by-step solutions to linear equation problems, including finding the slope, demand function, and solving for parallel lines. Key formulas such as slope and point-slope form are applied to various real-world math problems suitable for Grades 9-10.

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