![]() Suppose we wanted to visualize Joseph’s total cost of riding at the amusement park. The function that represents the cost of riding r rides is J(r)=2r. Figure 4.1.5.4Ĭonsider a student named Joseph, who is going to a theme park where each ride costs $2.00. The first quadrant is the upper right section, the second quadrant is the upper left, the third quadrant is the lower left and the fourth quadrant is the lower right. When referring to a coordinate plane, also called a Cartesian plane, the four sections are called quadrants. 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. Put a point where the two lines intersect. Since the y-coordinate is 4, count 4 units up. Since the x-coordinate is 5, count 5 units to the right. If you said start at the origin (0,0), you’re right. If we wanted to plot the ordered pair (5,4), where would we start?.Now, place a point using a given ordered pair. The value of y is 2, which is the distance up from the origin. Notice how the value of x is 3, which is the distance to the right from the origin. The y-coordinate tells how many to count up. The x-coordinate tells how many to count to the right from the origin. The first number is the x-coordinate, and the second number is the y-coordinate. Ordered pairs are used to name and place points. The y-axis is the line that runs vertically (up-down) through 0 on the grid. The x-axis is the line that runs horizontally (left-right) through 0 on the grid. Keep reading to see how you name a point on a coordinate grid. The coordinate plane contains the "x" axis and "y" axis. It is the point (0,0) on a coordinate grid. The origin is the starting point when plotting ordered pairs. The "x" (horizontal) value is first, and the "y" (vertical) value is second. The y-axis is the line on a graph that runs vertically (up-down) through 0.Īn ordered pair is two numbers written in a certain order to identify a location on a coordinate grid usually written in parentheses like this: (4,5). The x-axis is the line on a graph that runs horizontally (left-right) through 0. ![]() ![]() Now, try to answer the following questions before clicking on each to see if you were correct.īefore you move on, take a moment to review some important words that will help you today: To learn about quadrant one of a coordinate plane, watch Coordinate Planes: Plotting Points on a One Quadrant Graph from Real Math Solutions: This lesson will focus on Quadrant One of a coordinate plane. Before you can bury your time capsule, you will need to learn the basics of using a grid on a coordinate plane. The students used a grid to help them find locations.
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