{(4,-8), (2,-8), (-8,-8), (0,-8)} is
a set of four points in the coordinate plane.
The given set of points is {(4,-8), (2,-8), (-8,-8), (0,-8)}. To understand this set of points, let's break it down step by step:
Step 1: Understanding the Format
The given set of points is written in the form (x, y), where x represents the horizontal position on a graph and y represents the vertical position.
Step 2: Analyzing the Points
Let's analyze each point in the set:
Point 1: (4,-8)
This point has an x-coordinate of 4 and a y-coordinate of -8.
Point 2: (2,-8)
This point has an x-coordinate of 2 and a y-coordinate of -8.
Point 3: (-8,-8)
This point has an x-coordinate of -8 and a y-coordinate of -8.
Point 4: (0,-8)
This point has an x-coordinate of 0 and a y-coordinate of -8.
Step 3: Understanding the Pattern
By analyzing the given set of points, we can observe that the y-coordinate of each point is the same, which is -8. The x-coordinate varies for each point, which means the points are horizontally positioned at different locations on the graph, but all have the same vertical position.
Step 4: Graphical Representation
If we were to plot these points on a graph, we would see that all the points lie on the same horizontal line, parallel to the x-axis. This is because the y-coordinate is the same for each point (-8).
So, the given set of points {(4,-8), (2,-8), (-8,-8), (0,-8)} represents four points that lie on a horizontal line with a y-coordinate of -8.
an example of a set of points in the Cartesian coordinate system.
To understand what these points represent, let's break it down:
- Each point is represented by two coordinates, (x, y), where x represents the horizontal position on the x-axis and y represents the vertical position on the y-axis.
- For example, the point (4, -8) means that the x-coordinate is 4 and the y-coordinate is -8.
In the given set, we have four points:
1. (4, -8): This point is located at x = 4 and y = -8.
2. (2, -8): This point is located at x = 2 and y = -8.
3. (-8, -8): This point is located at x = -8 and y = -8.
4. (0, -8): This point is located at x = 0 and y = -8.
All four points have the same y-coordinate (-8), but different x-coordinates. So, they lie on a horizontal line parallel to the x-axis, at y = -8.
To represent these points graphically, you can plot them on a Cartesian plane:
- X-axis represents the horizontal line.
- Y-axis represents the vertical line.
To plot the given points, start from the origin (0, 0), which is the point where the x-axis and y-axis intersect.
- Move 4 units to the right along the x-axis and then move down 8 units along the y-axis to plot the first point (4, -8).
- Similarly, plot the other points using their respective coordinates.
Once you plot all four points, you will have a linear set of dots horizontally aligned at y = -8.