The Coordinate Plane
The point at which two coordinate axis meet is called origin. What will be the X- coordinate of a point which lies on the Y-axis? 7, Views. A coordinate grid has two perpendicular lines, or axes, labeled like number lines. the y-axis. The point where the x-axis and y-axis intersect is called the origin. A graph consists of two axes called the x (horizontal) and y (vertical) axes. These axes The point where the two axes intersect is called the origin. The origin is.
So you go all the way up to 5. So that is the point lowercase b with parentheses around it.
Then c, 4 negative 4. And then one last one. I'll do it in orange. That's the d with parentheses. And you could have gone the other way. You could have said, hey, y is equal to negative 3. So you could go to the left and down. Or you could go down and to the left.
And you're still going to get to the same point. So hopefully that gives you a good sense of how to figure out coordinates. Or if you're given coordinates, how to figure out where to plot something on the x,y-coordinate plane.
Coordinate system and ordered pairs (Pre-Algebra, Introducing Algebra) – Mathplanet
Now let's do a slightly more involved problem. So it says the following 3 points are 3 vertices of square A, B, C, D. Plot them on a graph. Then determine what the coordinates of the fourth point, D, would be. All right, let's plot these on a graph, as they tell us to do. That'll be my y-axis. That'll be my x-axis. And let me put some-- let me mark it.
So that's x equals 1, 2, 3, 4. This is x is equal to negative 1, negative 2, negative 3, negative 4. That's y is equal to 1, 2, 3, 4. This is y is equal to negative 1, negative 2, negative 3, negative 4. I could write that this y equals 4. This y equals negative 4. Let's plot these points.
So first, we have the point A is equal to negative 4, negative 4. So we go x is negative 4. And then y is negative 4. So we drop down 4 right there. And that is our point A. Negative 4, negative 4.
Points on the coordinate plane examples
And just to familiarize yourself with a labeling scheme that you may or may not have seen before, is that people label these sections of the coordinate plane. They call this the first quadrant.
They call this the second quadrant. They call this the third quadrant. And they call this the fourth quadrant. When we looked up at this stuff over here, these points are in the fourth quadrant. These are in the third, second, first. Just an interesting thing to know. Sometimes someone might ask you, what quadrant is that point in? And you just say, OK, I see. If they're both negative, they're going to be in the third quadrant. If just the y is negative, but the x is positive, you're going to be in the fourth.
If they're both positive, you're in the first. If y is positive, but x is negative, you're in the second. And we'll talk a little bit about that as we plot these points. So point B, x is positive. It's 1, 2, 3. And y is negative 4. So we drop down here into the fourth quadrant.
That is the point B. It's 3, negative 4. So we can already see the bottom of our rectangle that they're talking about, right there. And notice, both of these have the exact same y. They're both at the same level below the x-axis.
And then what's the next point? Point C is 3 comma 3. Plot points on a graph. Elements of a Graph We often use graphs to give us a picture of the relationships between variables. Let's first look at the basic construction of graphs. A graph is a visual representation of a relationship between two variables, x and y. A graph consists of two axes called the x horizontal and y vertical axes.
- Cartesian coordinate system
- Coordinate system and ordered pairs
These axes correspond to the variables we are relating. In economics we will usually give the axes different names, such as Price and Quantity. The point where the two axes intersect is called the origin. The origin is also identified as the point 0, 0. Coordinates of Points A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.
Each point is identified by both an x and a y coordinate. In this unit you will learn how to find both coordinates for any point.
You will also learn the correct notation for labeling the coordinates of a point.
You will first begin by identifying the x-coordinateof a point. Identifying the x-coordinate The x-coordinate of a point is the value that tells you how far from the origin the point is on the horizontal, or x-axis.
To find the x-coordinate of a point on a graph: Draw a straight line from the point directly to the x-axis. The number where the line hits the x-axis is the value of the x-coordinate. At the right is a graph with two points, B and D. The x-coordinate of point B is The x-coordinate of point D is Identifying the y-coordinate As we already mentioned, each point is defined by two coordinates, the x and the y coordinate. Now that you know how to find the x-coordinate of a point, you have to be able to find the y-coordinate.
The y-coordinate of a point is the value that tells you how far from the origin the point is on the vertical, or y-axis. To find the y-coordinate of a point on a graph: Draw a straight line from the point directly to the y-axis. The number where the line hits the axis is the value of the y-coordinate. Looking back at the graph with our points B and D, we now identify the y-coordinate for each.
The y-coordinate of point B is The y-coordinate of point D is Notation for Identifying Points Once you have the coordinates of a point you can use the ordered pair notation for labeling points.