17th October 2019

purplemath

13

# What is the slope of a line perpendicular to this line?

Put this together with the sign change, and you get that the

**slope of a perpendicular line**is the "negative reciprocal" of the**slope**of the original**line**— and two**lines**with**slopes**that are negative reciprocals of each other are**perpendicular**to each other.Regarding this, what is meant by perpendicular lines?

X.

**Perpendicular means**"at right angles". A**line**meeting another at a right angle, or 90° is said to be**perpendicular**to it. In the figure above, the**line**AB is**perpendicular**to the**line**DF. If they met at some other angle we would say that AB meets DF 'obliquely'.1

## How do you know if an equation is perpendicular?

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**.2

## What makes two lines perpendicular?

In other words, the slopes of parallel

**lines**are equal. Note that**two lines**are parallel if their slopes are equal and they have different y-intercepts. In other words,**perpendicular**slopes are negative reciprocals of each other.3

## What is the definition of slope of perpendicular lines?

**Perpendicular Lines**and Their

**Slopes**. The

**slopes**of two

**perpendicular lines**are negative reciprocals of each other. This

**means**that if a

**line**is

**perpendicular**to a

**line**that has

**slope**m, then the

**slope**of the

**line**is -1 / m.

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## What is the slope of a line that is perpendicular to Y 2?

To fine the slope of any line perpendicular to this one, we take the negative reciprocal of it:

slope = m , perpendicular slope = –

slope = 2 , perpendicular slope = –

slope = m , perpendicular slope = –

**.**^{1}/_{m}slope = 2 , perpendicular slope = –

^{1}/_{2}.5

## How do you know if lines are perpendicular to each other?

To figure out if

**two**equations are**perpendicular**, take a look at their slopes. The slopes of**perpendicular lines**are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to**determine**if**two**equations are**perpendicular**.6

## How do you know if two lines are perpendicular to each other?

**Perpendicular lines**intersect at right angles to one another. To figure out

**if two**equations are

**perpendicular**, take a look at their slopes. The slopes of

**perpendicular lines**are opposite reciprocals of each other. Watch this tutorial and see how to

**determine if two**equations are

**perpendicular**.

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## How do you find a perpendicular line?

First, put the

**equation**of the**line**given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2.**Perpendicular lines**have opposite-reciprocal slopes, so the slope of the**line**we want to**find**is 1/2. Plugging in the point given into the**equation**y = 1/2x + b and solving for b, we get b = 6.8

## How do you find the slope of a perpendicular line?

To

**find**the**slope**of the given**line**we need to**get**the**line**into**slope**-intercept form (y = mx + b), which means we need to solve for y: The**slope of the line**4x – 5y = –10 is m = 4/5. Therefore, the**slope of the line perpendicular**to this**line**would have to be m = –5/4. Step 2: Use the**slope**to**find**the y-intercept.9

## What is the definition of perpendicular lines?

In elementary geometry, the property of being

**perpendicular**(perpendicularity) is the relationship between two**lines**which meet at a right angle (90 degrees). The property extends to other related geometric objects. A**line**is said to be**perpendicular**to another**line**if the two**lines**intersect at a right angle.10

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

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. Two non-vertical**lines**are**perpendicular**if the slope of one is the negative reciprocal of the slope of the other.11

## What is the slope of the line is horizontal?

The slope of a horizontal line is

**0**! Since it's always hard to remember when these guys are horizontal and when they are vertical, I've got a sentence that will always save you When you see y = -2, say this: y is always -2 and x can be anything!12

## What slopes do perpendicular lines have?

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane). On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at

**90 degrees**.13

## What is the slope of a vertical line?

The "slope" of a vertical line. A vertical line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of

**0**, which makes the slope undefined..14

## What is the negative reciprocal used for?

Opposite

**Reciprocal**. The result of taking the**reciprocal**of a number and then changing the sign. For example, the**negative reciprocal**of 5 is , and the**negative reciprocal**of is . Note: Perpendicular lines have slopes that are**negative**reciprocals of each other.15

## What is the formula used to calculate slope?

To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate

**minus**the first y-coordinate over the second x-coordinate**minus**the first x-coordinate".16

## When lines are parallel they are consistent?

A system with exactly one solution is called a

**consistent**system. To identify a system as**consistent**, inconsistent, or dependent,**we**can graph the two**lines**on the same graph and see if**they**intersect, are**parallel**, or are the same line.17

## What is the definition of parallel lines?

**Parallel lines**are two

**lines**that are always the same distance apart and never touch. In order for two

**lines**to be

**parallel**, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. Any

**line**that has the same slope as the original will never intersect with it.

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## How can you tell if two segments are parallel?

Compare the slopes of each

**line**. Remember,**when two lines are parallel**to each other, they will have the exact same slope. Using the equation y = mx + b where m is the slope of the**line**, you can**identify**and compare the slopes of**two lines**.19

## How do you find the perpendicular bisector of a line?

To

**find**the**perpendicular bisector**of two points, all you need to do is**find**their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form. If you want to know**how to find**the**perpendicular bisector**of two points, just follow these steps.