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:

---

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):