# What is the equation of a perpendicular line?

## What is the equation of a perpendicular line?

The slope of the perpendicular line is the negative reciprocal of the original slope. Plug in the perpendicular slope and the given point to the slope-intercept equation. Plug in the perpendicular slope and the y-intercept into the slope-intercept equation to get the equation of the perpendicular line.

How do you find a perpendicular number?

If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

How do perpendicular lines look like?

Perpendicular lines are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph. These 90-degree angles are also known as right angles. When the lines are parallel or perpendicular, text will appear to let you know you’ve done it! o Look at the slopes of the two parallel lines.

### How do you tell if a line is perpendicular on a graph?

Explanation: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.

What is the slope of the line that is perpendicular?

Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.

What is perpendicular example?

Perpendicular – Definition with Examples Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Example: Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. Non-Example: The two lines are parallel and do not intersect each other.

#### What is the slope of a line that is perpendicular to the line shown on the graph?

Perpendicular lines have slopes that are opposite reciprocals of each other. Therefore, the slope of the line is 3.

What is a perpendicular shape look like?

Perpendicular lines are lines that are found at right angles to one another. A right angle is exactly 90 degrees. A triangle will have perpendicular lines if it has a little square where two lines intersect to indicate there’s a right angle there or if someone tells you that the triangle is a right triangle.

How to write equations of perpendicular?

You must know the structure of a straight-line equation before you can write equations for parallel or perpendicular lines. The standard form of the equation is “y = mx + b,” in which “m” is the slope of the line and “b” is the point where the line crosses the y-axis.

## How do you find the equation of perpendicular lines?

Perpendicular Line Formula. Perpendicular line is a straight line through a point. It makes an angle of 90 degree with a particular point through which the line passes. Coordinates and line equation is the prerequisite to find out the perpendicular line. Consider the equation of the line is ax + by + c = 0 and coordinates are ( x1, y1 ),…

What happens if two lines are perpendicular?

Perpendicular lines (Coordinate Geometry) When two lines are perpendicular, the slope of one is the negative reciprocal of the other. If the slope of one line is m, the slope of the other is.

When two lines are perpendicular?

By definition, two lines are perpendicular if they intersect at right angles. That is, two perpendicular lines form 4 right angles. Segments and rays can also be perpendicular. This means they intersect in at least one point, and the two lines containing them are perpendicular.