4. For the following pairs of parametric equations: 1. determine an equivalent rectangular equation; 2. graph with Demos; 3. describe the shape in your own words. x= cost-3, y = 2 sin t +1 a. b. x=7+2sect, y = 3+5 tan t

Horizontal Question 19 Write the following equation in standard form: y = 1/2x + 1 2x-y=-1 B) x-2y -2 2x +2y = -2 none of these E) x+ 2y = -2 2y x + 2 Question 20 What is the nature of the following equation: 4 +y- 1= 3y -3 Slanted Horizontal remaining

b) Find the set of points which are the same distance from the lines x + 3y + 4 = 0 and x + 3y + 6 = 0, justifying your answer. c) Sketch the following equation which is given in Cartesian coordinates by changing to polar coordinates. (x² + y²)² = 2xy.

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13. Given the points A(3,5) and B( – 3, – 7), find b. the parametric equations of the line.