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Notes - Ordered Pairs Holt text 3-1 (p. 118) Ordered Pairs- (x,y) · a pair of numbers that can be used to locate a point on a coordinate plane · a solution of a two-variable can be written as an ordered pair * this will make more sense after we do the example problems Skill- Finding if an ordered pair is a solution to an equation. To find if an ordered pair is a solution to an equation, · Substitute the x & y values from the ordered pair into the equation · Simplify. · If you get the same number on both sides of the =, the ordered pair is a solution. See examples below Examples - Holt page 120 # 1-4 Are the followiing ordered pairs solutions to the equation y = 2x- 4 1. (3, 2) 2. (-4, 5) 2 = 2(3) -4 5 = 2(-4) -4 2 = 6-4 5 = -8- 4 2=2 5 = -12 Yes, (3,2) is a solution No, (-4,5) isn’t a solution 3. (6,8) 8 = 2(6)-4 8 = 12-4 8=8 Yes (6,8) is a solution 4. (2,0) 0 = 2(2)-4 0 = 4-4 0=0 Yes (2,0) is a solution Definitions 1. Coordinate Plane- A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. 2. x axis The horizontal axis on a coordinate plane. 3. y axis The vertical axis on a coordinate plane. 4. Quadrants- The four sections of a coordinate plane, separated by the x- and y-axes. 5. x coordinate- The first number in an ordered pair; it tells the distance to move right or left from the origin 6. y coordinate- The second number in an ordered pair; it tells to move up or down. 7. Origin- The point where the x-axis and y-axis intersect on the coordinate plane; located at (0, 0). 8. Graph of an Equation- A graph of the set of ordered pairs that are solutions of the equation.