X and Y Axis Examples
Problem 1: Plott the given points on the cartesian plane.
- A: (2, 3)
- B: (-1, 4)
- C: (0, -2)
- D: (-3, -4)
- E: (6, -5)
Solution:
Given Points,
- Point A: (2, 3)
- Point B: (-1, 4)
- Point C: (0, -2)
- Point D: (-3, -4)
- Point E: (6, -5)
To plot these points on the coordinate plane, start at the origin (0, 0) and move horizontally and vertically according to the X and Y values of each point.
- For Point A (2, 3), move two units to the right along the X-axis and three units upward along the Y-axis to locate the point.
- For Point B (-1, 4), move one unit to the left along the X-axis and four units upward along the Y-axis.
- For Point C (0, -2), stay at the origin and move two units downward along the Y-axis.
- Point D (-3, -4), move 3 units to the left along the X-axis and 4 units downwards along the Y-axis from the origin locate the point.
- Point E (6, -5), move 6 units to the right along the X-axis and 5 units downwards along the Y-axis from the origin locate the point.
Now, let’s graph these points on the coordinate plane. The resulting graph will show the positions of these points relative to the origin.
Problem 2: Plot a graph of the linear equation y = 2x + 1
Solution:
Given equation,
y = 2x + 1
To graph this linear equation, we need to find several points that satisfy the equation and then connect them to form a line. We can choose any X value and find the corresponding Y value using the equation.
Let’s calculate y for different values of x,
- When x = 0
y = 2(0) + 1
y = 1
So, the point (0, 1) lies on the line.
- When x = 1
y = 2(1) + 1
y = 3
So, the point (1, 3) lies on the line.
- When x = -1
y = 2(-1) + 1
y = -1
So, the point (-1, -1) lies on the line.
Now, plot these points on the coordinate plane and connect them to form a straight line. The graph of the linear equation y = 2x + 1 will look like this:
X and Y Axis
X and Y Axis are the foundation of the Cartesian coordinate system as well as graphs in mathematics. The x-axis and y-axis are crucial components of the coordinate plane, with the x-axis serving as a horizontal number line and the y-axis as a vertical number line. They intersect at right angles to create the coordinate plane. The x-axis is referred to as the abscissa, while the y-axis is known as the ordinate.
In this article, we will explore both the X-axis and well Y-axis in varying detail. Other than that, we will also learn equations of the x and y axis, and learn how to plot the point on either the x-axis or y-axis or in the cartesian coordinate as well.
Table of Content
- What is the Cartesian Coordinate System?
- What is X-Axis?
- Positive and Negative X-Axis
- Equation of X-Axis
- What is Y-Axis?
- Positive and Negative Y-Axis
- X and Y Axis on Graph
- Plotting Points on X and Y Axis
- Axis and Quadrants of Cartesian Plane
- X and Y Axis Examples
- Practice Problems on X and Y Axis
Contact Us