## Sample 1st Midterm

1. Find the equation of the line
that goes through the points (2, 5) and (4, 7).

2. Find the equation of the line
that goes through the point (2, 3) parallel to the line whose
equation is x + y = 3.

3. Find the equation of the line
that goes through the point (2, 3) perpendicular to the line whose
equation is x + y = 3, find the foot of the point in the given
line, and find its reflection about the given line.

4. Find the equation of the circle
centered at (2, 1) of radius 4.

5. Find where the line whose equation is y = 2x - 6 intersects the circle in #4. Draw the graphs of the line and the circle in the same coordinate system to show the points of intersection (if any).

6. Find the distance between (1,3)
and (4, 7)

7. Find the midpoint between (1, 3)
and (4, 7)