May 28th, 2015
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The Cartesian Coordinate SystemPlot the following points: 1. (-2,2)6. (3,-5)2. (0, 4)7. (1, 0)3. (-5,-3)8. (0.0)4. (2,-3)9. (0,-8)5. (1.5,3.5)10. (-2.5,2 2/3)Equation of a LineExercise: Convert the following equation of a line into standard form:1. 3x y + 4 = 02. y 3x = 63. 0 = 3x + 2y 4. 3x + 3/2y = 15. 4x + 2y 5 =06. y =3x + 2SlopeExercise:Find the slopes of the following lines formed by two given points:a. (1,0) , (2,0)b. (3,4) , (5,-3)c. (-4,-2) , (2,4)d. (5,1) , (-1,-5)e. (2,1) , (1,4)Solving the Equation of the Line Base on Slopes and y-interceptExercise: Draw the graph of a the following line by basing on the slope and y-intercept.1. y = 3x + 82. 3x + 2y = 183. 3x - 4y = 244. x + y = 85. x 2y = 10Find the equation of a line in standard form by basing on the slopes and y-intercepts.1. m = 2/3 , b = 62. m = -2, b = -23. m = -1/2, b = 34. m = 2, b = 65. m = .8, b = 1/6Exercise: Find the equations of the following lines with the given slope and passed through the given points.1. m = , (2,3)2. m = -2, (1,-4)3. m = 2/3, (3,6)4. m = -4, (-1/2, -3/4)5. m = - 2, (3/4, 0)Parallel and Perpendicular LinesExercise: Predict which pair of the following pairs of lines is parallel.1. 2x + 4y = 7, 2x = -4y + 112. 3x - 6y = 8, 3x = -6y + 143. 2x + 4y = 11, 4x + 8y = 194. 3x + 7y = 12, 9x + 21y = 25. 4x + 3y = 12, 4x = -3y + 15Exercise: Which of the following lines are paral

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