1. 1. One endpoint of a segment AB is A (­3, 6). If the coordinates of the midpoint are (1, 2), find the
coordinates of B.
Answer: (5, ­2).

2. 2. A seaport is located at P(­9, 4), a fishing boat is located at B(3, 7), and a yacht is located at Y(7, ­5).
Calculate to two decimal places the distance between:
a) the boat and the yacht
Answer: 12.7
b) the port and the boat
Answer: 12.4
c) the port and the yacht.
Answer: 18.4

3. 3. Find an equation for the line passing through A (3, 6) and B(­4, 8).
Answer: y=

4. 4. Express 4x ­ 2y + 6 = 0 in the form y = mx + b. What is the slope? What is the y­intercept?
Answer: y = 2x+3
The slope m = 2
The y­intercept b = 3

5. 5. Write an equation the form y = mx + b for the line that is perpendicular to x + y = 4 and has an x­intercept
of 2.
Answer: y = x ­ 2