Math 150

Sample 1st Midterm

Dr. Wilson

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)