Discuss the below:
1. Consider the points (4, -1) and (7, 8).
(a) Find the midpoint of the line segment with the given endpoints.
(b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places.
(c) Find the slope of the line passing through the two given points.
(d) Find the equation of the line passing through the two given points.
2. For each of the equations (a), (b), and (c) below, indicate which of the following graphs I, II, III, IV, or V, represents the equation. State the domain and range. [Any curve which reaches the edge of the graph window continues in the same direction forever.]
(a) y = 1 - x Graph: Domain: Range:
(b) y = |1 - x| Graph: Domain: Range:
(c) y = 1 - x2 Graph: Domain: Range:
