Figure 4.1.5.3įor a positive x value we move to the right.įor a negative x value we move to the left. We show all the coordinate points on the same plot. Plot the following coordinate points on the Cartesian plane: To graph a coordinate point such as (4, 2), we start at the origin.īecause the first coordinate is positive four, we move 4 units to the right.įrom this location, since the second coordinate is positive two, we move 2 units up. The second coordinate represents the vertical distance from the origin. Data points are formatted as (x,y), where the first coordinate represents the horizontal distance from the origin (remember that the origin is the point where the axes intersect). Once a table has been created for a function, the next step is to visualize the relationship by graphing the coordinates of each data point. The coordinates of the origin are (0, 0).\) The origin is the point of intersection of the x and y axes on the Cartesian plane. The ordinate is the y-coordinate of the ordered pair that represents a plotted point on a Cartesian plane. The coordinate plane is also called a Cartesian Plane. The coordinate plane is a grid formed by a horizontal number line and a vertical number line that cross at the (0, 0) point, called the origin. The Cartesian plane is a grid formed by a horizontal number line and a vertical number line that cross at the (0, 0) point, called the origin. The abscissa is the x−coordinate of the ordered pair that represents a plotted point on a Cartesian plane. The y−axis is the vertical number line of the Cartesian plane. The x−coordinate is the first term in a coordinate pair, commonly representing the value of the input or independent variable. The x−axis is the horizontal axis in the coordinate plane, commonly representing the value of the input or independent variable. The answer is that the ordered pair is (5,0). Next notice that you do not need to move up or down from the x-axis at all to reach the point. You need to figure out how far to the right/left you need to move and then how far up/down you need to move to reach your point.įirst notice that you need to move 5 units to the right from the origin to reach the point. To write the ordered pair you need both the x-coordinate and the y-coordinate. Give the ordered pair for the point plotted below. The answer is shown plotted on the coordinate plane below. Move down from the 3 on the x-axis 4 units until you are lined up with the -4 on the y-axis. Because the y-coordinate is negative, you will be moving down. Move to the right along the x-axis 3 units until you find 3. Because the x-coordinate is positive, you will be moving to the right. Then, find the location of the x-coordinate. To plot this point, first start at the origin. This point has an x-coordinate of 3 and a y-coordinate of -4. Plot the point (3,−4) on the coordinate plane. This coordinate describes how far above or below the x-axis a point is. The second number in an ordered pair identifies the y -coordinate of the point.This coordinate describes how far to the right or left of the y -axis a point is. The first number in an ordered pair identifies the x-coordinate of the point.The coordinate plane allows you to describe locations in two-dimensional space.Įach point on the coordinate plane can be named by a pair of numbers called an ordered pair in the form (x,y). The point of intersection is called the origin. The coordinate plane is a grid created by a horizontal number line, the x-axis, intersecting a vertical number line, the y-axis. Naming and Graphing Points in the Coordinate Plane
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