![]() ![]() ![]() They can also be in multiples of 10s, or they can be in decimal values so you could still have perpendicular lines for points like -3.5 or 6.5 and so on. Most coordinate grids are marked off in whole numbers. Think of the grid as a net you only "catch" what is on the lines, until you get into fussy coordinate pairs like (-3.5, -6.75), where you may have to estimate those fractions of units inside the boxes. Remember to always mark the intersection of lines, not the empty space in between the lines. Mark the intersection of the perpendicular lines you see at the spot 3 negative units left and 6 negative units down. Go down six units, because -6 is the negative y-value. Go to your left three units, because -3 is the negative x-value. Let's try another from our earlier list, (-3, -6): That is the point on the coordinate grid (3, 6). Mark the intersection of the perpendicular lines you see at that spot, 3 positive units right and 6 positive units up. Go up six units (because 6, the y-value, is also positive). ![]() Go to your right three units (because 3, the x-value, is positive). Look at the ordered pair say it is (3, 6). Every grid has an origin, the point where the two axes intersect. To graph a particular point on a coordinate grid, start at the origin, (0, 0). So you always put them in that order: (x, y) See the long index finger, longer like it is more important? That's the first coordinate, the x-axis value. Hold your dominant hand up in front of you, index finger extended and thumb up. Similarly, the x-axis is a divider between above and below: y-values above the x-axis are always positive, and y-values below the x-axis are always negative. All x-values to the left of the y-axis are always negative x-values to the right of the y-axis are always positive. The y-axis (the vertical axis) is a divider between left and right. We hope you said (-3, -6) is in Quadrant III, (3, -6) is in Quadrant IV, (-3, 6) is in Quadrant II, and (3, 6) is in Quadrant I. See if you can tell each ordered pair's quadrant: Quadrant IV, bottom right, will have a positive x-value and a negative y-value, like this: (+,-) Quadrant III, bottom left, will have two negative numbers, like this: (-,-) Quadrant II, top left, will have a negative x-value and a positive y-value, like this: (-, +) Quadrant I, top right, will have two positive numbers, like this: (+, +) With the x-axis cutting horizontally across the coordinate plane, and the y-axis cutting vertically, the coordinate plane divides neatly into four quadrants, labeled with Roman numerals in a counterclockwise direction from the top right (I) to bottom right (IV). The other two quadrants, II and IV, will have negative and positive numbers. One quadrant, Quadrant III, will have negative numbers for both x-values and y-values. Only one quadrant, Quadrant I, will have positive numbers for both the x-value and the y-value. These two axes divide a coordinate grid (an overlay of intersecting perpendicular lines on the coordinate plane) into four regions, called quadrants. The x-axis goes left and right, horizontally To ensure understanding, all mathematicians label points on the coordinate plane first with the x-axis value, then the y-axis value. ![]() The coordinate plane has two axes (plural of axis). Learning how to move around, and how to graph points on the coordinate plane, will help you understand geometry. The coordinate plane is an organized way to identify locations in two dimensions, using a grid and coordinates on the x-axis and y-axis. ![]()
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