Plot the points $(0,5),(-1,0),(4,2),(-5,-2)$.
Answer (1)
Understand the Cartesian coordinate system.
Plot the point (0,5) by moving 5 units up the y-axis.
Plot the points (-1,0), (4,2), and (-5,-2) based on their x and y coordinates.
The points are now plotted on the coordinate system.
Explanation
Understanding the problem The problem asks us to plot the points (0,5), (-1,0), (4,2), and (-5,-2) on the Cartesian coordinate system. This involves understanding how to locate points based on their x and y coordinates.
Plotting (0,5) To plot the point (0,5), we start at the origin (0,0). Since the x-coordinate is 0, we don't move horizontally. The y-coordinate is 5, so we move 5 units upwards along the y-axis.
Plotting (-1,0) To plot the point (-1,0), we start at the origin (0,0). The x-coordinate is -1, so we move 1 unit to the left along the x-axis. Since the y-coordinate is 0, we don't move vertically.
Plotting (4,2) To plot the point (4,2), we start at the origin (0,0). The x-coordinate is 4, so we move 4 units to the right along the x-axis. The y-coordinate is 2, so we move 2 units upwards along the y-axis.
Plotting (-5,-2) To plot the point (-5,-2), we start at the origin (0,0). The x-coordinate is -5, so we move 5 units to the left along the x-axis. The y-coordinate is -2, so we move 2 units downwards along the y-axis.
Final Answer The points (0,5), (-1,0), (4,2), and (-5,-2) are now plotted on the Cartesian coordinate system.
Examples
Plotting points on a coordinate system is a fundamental skill used in various real-world applications. For example, in navigation, GPS devices use coordinates to pinpoint your location on a map. In data visualization, plotting points helps to represent data sets and identify trends. In computer graphics, plotting points is essential for creating images and animations. Understanding how to plot points allows you to translate abstract data into visual representations, making it easier to analyze and interpret information.
