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The document contains a math quiz related to business mathematics. Here are the problems listed:

1. **Find the demand function** that passes through points (3,3) and (2,4):
   - A. P = x + 6
   - B. P = -x + 6
   - C. P = 2x + 6
   - D. P = -2x + 6
   - E. P = x - 6

2. **Find the intersection point** of the following lines: 
   - \( Y = 2 + 2x \) 
   - \( Y = 10 - 2x \)
   - A. (4,6)
   - B. (2,6)
   - C. (2,5)
   - D. (3,5)
   - E. (6,2)

3. Given points A(2,8) and B(4,5), **determine the slope of line AB**:
   - A. 1.5
   - B. 0.5
   - C. -1.5
   - D. -1.2
   - E. -0.5

4. **Equation of a line** passing through point (4,1) with a slope of 2:
   - A. \( Y = 7 - 2x \)
   - B. \( Y = 9 - 2x \)
   - C. \( Y = 2x - 7 \)
   - D. \( Y = 2x - 9 \)
   - E. \( Y = x + 4 \)

5. **Find the value of 'a'** so that the line \( Y = ax + 2 \) is parallel to the line passing through (2,4) and (3,1):
   - A. -3
   - B. 3
   - C. 2
   - D. 4
   - E. -2

Would you like help solving these problems, or do you want explanations for any specific question?

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**Relative Questions:**

1. How do you calculate the slope of a line from two points?
2. What is the equation of a line in slope-intercept form?
3. How do you find the intersection of two lines?
4. What does it mean for two lines to be parallel in terms of slope?
5. How can you check if a point lies on a given line?

**Tip:** When finding the slope between two points, remember the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the points.

The document contains a math quiz related to business mathematics. Here are the problems listed:

1. **Find the demand function** that passes through points (3,3) and (2,4):
   - A. P = x + 6
   - B. P = -x + 6
   - C. P = 2x + 6
   - D. P = -2x + 6
   - E. P = x - 6

2. **Find the intersection point** of the following lines: 
   - \( Y = 2 + 2x \) 
   - \( Y = 10 - 2x \)
   - A. (4,6)
   - B. (2,6)
   - C. (2,5)
   - D. (3,5)
   - E. (6,2)

3. Given points A(2,8) and B(4,5), **determine the slope of line AB**:
   - A. 1.5
   - B. 0.5
   - C. -1.5
   - D. -1.2
   - E. -0.5

4. **Equation of a line** passing through point (4,1) with a slope of 2:
   - A. \( Y = 7 - 2x \)
   - B. \( Y = 9 - 2x \)
   - C. \( Y = 2x - 7 \)
   - D. \( Y = 2x - 9 \)
   - E. \( Y = x + 4 \)

5. **Find the value of 'a'** so that the line \( Y = ax + 2 \) is parallel to the line passing through (2,4) and (3,1):
   - A. -3
   - B. 3
   - C. 2
   - D. 4
   - E. -2

Learn how to solve various linear equation problems including finding demand functions, calculating the slope of a line, and determining intersection points. Problems cover key concepts such as parallel lines and linear functions. Ideal for students in Grades 9-12.

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