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What would its coordinates be? Pause the video and Let's say that I were to give you, if I were to give you this That is two and its Y coordinate, how far above the origin is.
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How far to the right of the origin it is. So you can say one two to the right and then one two threeįour right over there. So first we're gonna move two to the right and then we are going to move four up. So we move two to the right, and then our second number Why don't you pause this video and think about where that point would be on this coordinate plane.
![4 coordinate graph 4 coordinate graph](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/coordinate-plane-example-1-1617943529.png)
The X coordinate is zero, the Y coordinate is also zero. To the right of the origin and it's also zero above the origin. Now what is the coordinate of the origin? Well the origin is zero So this point right over here, it has an X coordinate of three, and it has a Y coordinate of five. Actually let me do that same blue color that I wrote the coordinates in. Those two lines intersect, right over here. So what point uniquely hasīoth an X coordinate of three and a Y coordinate of five? Well you can see where Horizontal line that I'm drawing has a Y coordinate of five. That is the origin, and so starting at the This point is actually called the origin. So one way to think about it, you could start back Now what's the Y coordinate? Another way I should say Everything on this vertical line has an X coordinate of three. So my X coordinate says,Īll right my point is going to be this far to the right. Is you'd say all right I'm gonna start right here where my axes intersect and I'm You can view it as how farĭo we move to the right along the X axis. This first coordinate, this is our X coordinate. Will interpret these points, it'll say all right, Typically work it through, the standard way that people Specify a point on this plane? Well the way that we So how does three comma five, how do these coordinates Might call it other things, but most of the time it's In the vertical direction, this is typically known as the Y axis. In the future it mightīe called other things, and the one that goes up down One that goes left right here, this is known as the X axis, or it's typically known as the X axis. This is often known as our coordinate plane. Little bit of terminology out of the way. Where a point on the plane is? So let's first get a How can these two numbers be represented as a point on the plane, or how can these tell you
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What we're going to do in this video is think about how do we take two numbers and associate them with a Right, and I would end up right over there. So for example, the number two, I would go, I would start at zero, I'd go one, two to the Here’s another way to think about it.- You're probably familiar with the notion of a number line where we can take a number and associate it with a point on the number line. Once you know about the quadrants in the coordinate plane, you can determine the quadrant of an ordered pair without even graphing it by looking at the chart above. Starting from the origin, go along the x-axis in a positive direction (right) and along the y-axis in a negative direction (down). Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down). Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a positive direction (up). Starting from the origin, go along the x-axis in a positive direction (right) and along the y-axis in a positive direction (up). They also follow a pattern, which is outlined in the table below. Within each quadrant, the signs of the x-coordinates and y-coordinates of each ordered pair are the same. What do you notice about the signs of the x- and y-coordinates of the points within each quadrant? Look at each quadrant in the graph below. Ordered pairs within any particular quadrant share certain characteristics. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise. These four sections are called quadrants. The intersecting x- and y-axes of the coordinate plane divide it into four sections. Identify quadrants and use them to plot points If the y-coordinate is positive, move up if the y-coordinate is negative, move down. Beginning at the x-coordinate, move vertically, the direction of the y-axis, the distance given by the y-coordinate. If the x-coordinate is positive, move to the right if the x-coordinate is negative, move to the left. Beginning at the origin, move horizontally, the direction of the x-axis, the distance given by the x-coordinate. Steps for Plotting an Ordered Pair ( x, y) in the Coordinate Plane