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Homework 5: Due Monday 6/23/14 1. Given the points (−3, −1), (6, −4), and (1, 6), which two points are closest together? Which two are farthest apart? Note: For problems 2 and 3 you will not get a number as your answer. 2.Let P be the point (2, 4). Given the line g(x) = −3x + 1 write an expression in terms of x that represents the distance between the line g(x) and the point P . Simplify your expression. HINT: We can represent any point on g(x) as (x, g(x)) which is the point (x, −3x + 1). Now you can calculate the distance between this point and the point (2, 4). 3. What is the distance between any point on the X-axis (x, 0) and the point directly above it that lies on y = x2 given by (x, x2 )? Why does this answer make sense? 4. Find the equation of the circle centered at (−2, 3) with radius 7. 5. Find the equation of a circle if (4, −4) is the center and the point (5, −1) lies on the circle. 1