Class_Notes_1.3_x_1.4

Class_Notes_1.3_x_1.4 - Guiding Question 2 (a) A line...

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Guiding Question 1 Given a line through the points (-2, 1) and (1, 1). (a) Graph the line (b) Find the slope (c) Interpret the slope (d) Find an equation of the line (e) Find the x-intercept and y-intercept (f) Draw a parallel line that goes through (0, 4). What is the equation of this line? (g) Draw a perpendicular line that goes through (-3, 1). What is the equation of this line? Follow-up Question The equation 2 - = x y C defines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when C = -4, C = 0, and C = 2. Can you draw a conclusion from the graph about each member of the family?
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Unformatted text preview: Guiding Question 2 (a) A line segment is drawn from the point (a, b) to the point (x, y). Use the distance formula (or the Pythagorean Theorem) to write an expression representing the length of the line segment. (b) On the coordinate plane, pick a random point to play the role of (a, b). Find four points (x, y) in the plane so that the segment from (a, b) to each of the four points has length 2 units. How many more such points are there? Test Prep Question Find an equation of the line containing the centers of the two circles 2 2 4 6 4 +-+ + = x y x y and 2 2 6 4 9 + + + + = x y x y . Draw a graph of both circles and the line....
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Class_Notes_1.3_x_1.4 - Guiding Question 2 (a) A line...

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