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Mathematics - Lecture 10 "The 2-Dimensional coordinate system and graphs of equations: Lines" presents the following content: The 2-dimensional coordinate system: distance between two points, midpoint of a line segment; graphs of equations in two variables: x and y intercepts; lines: slope of a line, parallel lines, perpendicular lines. | The 2-Dimensional Coordinate System and Graphs of Equations: Lines Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 10 Math 17 (UP-IMath) 2D Plane and Lines Lec 10 1 / 31 Outline 1 The 2-Dimensional Coordinate System Distance Between Two Points Midpoint of a Line Segment 2 Graphs of Equations in Two Variables x and y Intercepts 3 Lines Slope of a Line Parallel Lines Perpendicular Lines Math 17 (UP-IMath) 2D Plane and Lines Lec 10 2 / 31 The 2-Dimensional Coordinate System Recall: Cartesian product Math 17 (UP-IMath) 2D Plane and Lines Lec 10 3 / 31 The 2-Dimensional Coordinate System Recall: Cartesian product A × B = {(a, b) | a ∈ A and b ∈ B} whose elements are ordered pairs. Math 17 (UP-IMath) 2D Plane and Lines Lec 10 3 / 31 The 2-Dimensional Coordinate System Recall: Cartesian product A × B = {(a, b) | a ∈ A and b ∈ B} whose elements are ordered pairs. Let A = {0, 1} and B = {w, x, y, z}. A×B ={ Math 17 (UP-IMath) 2D Plane and Lines Lec 10 3 / .