Table of Contents

## Are the X and y-axis perpendicular?

Two-Dimensional Objects The xy-coordinate plane has two coordinate axes, the x- and y-axis. They are perpendicular to each other. A point in the xy-plane is represented by two numbers, (x, y), where x and y are the coordinates of the x- and y-axes.

## Why coordinate axis are perpendicular?

Coordinate axes are chosen to be perpendicular to each other because it is convenient, calculations are easier.

**Are the X and y-axis perpendicular or parallel?**

Its lines are formed by two axes that are drawn perpendicular to each other. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis. The two intersecting axes form four quadrants, numbered I through IV.

### What is the XYZ plane?

The xy-plane is the plane that contains the x- and y-axes; the yz-plane contains the y- and z-axes; the xz-plane contains the x- and z-axes. These three coordinate planes divide space into eight parts, called octants.

### What is perpendicular to the x-axis?

A line perpendicular to the x-axis would have the opposite. The y-axis, for example, has an equation of x = 0 because any point on the y-axis has a y-value of 0. Therefore, the equation of your vertical line passing through (4,1) is x = 4. Any other point on that line has an x-value of 4.

**What’s perpendicular to the x-axis?**

A line that is perpendicular to the x-axis is a vertical like with a slope equal to infinity. A line parallel to it would have the same slope and will also be a vertical line perpendicular to the x-axis. As the line passes through the point (2, -1) its equation is x = 2.

#### Do perpendicular lines have the same Y intercept?

They are not the same line. The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Perpendicular Lines. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.

#### What makes lines perpendicular?

Perpendicular lines are lines that intersect at right angles. That is, the slopes of perpendicular lines are opposite reciprocals . (Exception: Horizontal and vertical lines are perpendicular, though you can’t multiply their slopes, since the slope of a vertical line is undefined.)

**What is a 3d plane called?**

A three dimensional plane or 3d plane contains three axes which intersect at the origin. The three axes, namely x-axis, y-axis and z-axis are mutually perpendicular to each other. Thus, a 3d plane is called a hyperplane.

## Why is the Z axis vertical?

Although the Right-Hand Rule shows the three axes, the spatial aspect is still not known in relation to a machine. This reference is used in the Machine Tool Trades. It is taught that the Z axis is referencing the vertical axis which is the center of rotation referred to as the axial plane.

## Is x 7 perpendicular to the x-axis?

x=−7 is a straight line parallel to the y-axis cutting the x-axis at -7. So a line perpendicular to this line will be a horizontal line parallel to the x-axis and cutting the y-axis at any point c.