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Rectangular Coordinates & Linear Equations Rectangular Coordinates Parts of a coordinate plane Y X axis Vertical line axis Horizontal line Quadrants The 4 parts that the coordinate plane is divided into Quadrants The upper right quadrant is the first quadrant and the rest go counterclockwise. Points in Quadrant 1 have positive x and positive y coordinates. Points in Quadrant 2 have negative x but positive y coordinates. Points in Quadrant 3 have negative x and negative y coordinates. Points in Quadrant 4 have positive x but negative y coordinates. X and Y Coordinates X-Coordinate Tells how far the point is to the right or left of the y-axis The first number in the set Y-Coordinate Tells how far above or below the x-axis The second number in the set (x-coordinate, y-coordinate) Graph the following points: (a) (4, 2) (4,-3) (-4, -3) (b) (c) If we have an equation with one variable, then the solution is the one number that makes the equation true. If we have an equation with two variables, then the solutions are the pairs of values that make the equation true. y=x+2 Y= 5 and x = 3 would make this statement true along with y=6 and x=4, etc. There are many pairs that make this statement true. If we took those numbers and plotted them on a coordinate plane, they would form a straight line. When graphing a line, you should find at least three pairs of values. Make a chart to keep up with which numbers go together. Example y=x–2 Fill in chart! xx y Now, graph the points on a coordinate plane. Example Y = 2x + 1 x y