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Review of Week1 Name: ___________________ Consider the circle (x – 2)2 + (y +1)2 = 9. Suppose that you correctly deduced that it has radius 3, but mistakenly identified its center as (2, 1). 1. On quadrille paper, set up a coordinate system , calculate, and label the four cardinal points of the circle with center (2, 1) and radius 3. 2. List the cardinal points here: __________, __________,__________,__________; and plug their coordinates into the eqn. What do you observe? .......................................................................................................................................................... 3. Repeat 1. and 2. with the actual center. List the cardinal points here: __________, __________,__________,__________; and plug their coordinates into the equation. What do you observe? .......................................................................................................................................................... 4. Graph the points (-3, 5) and (5, 1). Calculate the midpt of the line segment joining them. List the midpoint here: __________ and use the graph to confirm that it a reasonable answer. 5. Suppose (-3, 5) and (3, 1) are the endpoints of the diameter of a circle. Use one of them and the midpoint from 4. to calculate the radius of the circle. Draw the right triangle that underlies the distance formula in this case. Radius: ____________________ .......................................................................................................................................................... 6. Write three points on the line y = 2x – 1. Graph the line on quadrille paper. x y 7. Calculate the slope of the line that goes through the points (–2, 4) and (3, 1). Write the eqn of the line through the points. _________________________ Graph the line on the same axes as the line from 6. 8. Graphically solve the system: y = 2x – 1 y = (-0.6)x + 2.8