# How to know if an equation is perpendicular

Contents

- 1 What makes an equation perpendicular?
- 2 How do you know if something is perpendicular?
- 3 What does a perpendicular equation look like?
- 4 How do you determine if a line is parallel or perpendicular?
- 5 When two lines are perpendicular Their slopes are?
- 6 How do you find the equation of a line that is perpendicular?
- 7 How do you write an equation for parallel and perpendicular lines?
- 8 How do you find the equation of a line?
- 9 What is the rule for perpendicular lines?
- 10 What type of angle do perpendicular lines form?
- 11 What does intersecting lines look like?
- 12 Can two lines with positive slopes be perpendicular?
- 13 How do you determine if two lines are parallel?

## What makes an equation perpendicular?

The given

**equation**is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be**perpendicular**the new slope must be 3/2 (opposite reciprocal of the old slope).## How do you know if something is perpendicular?

Two lines are

**perpendicular if**and only**if**the product of their slopes is . In other words, the slope of a line that is**perpendicular**to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line**perpendicular**to that slope must be the negative reciprocal of 3, or .## What does a perpendicular equation look like?

**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. Thus, the

**equation**of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

## How do you determine if a line is parallel or perpendicular?

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.## When two lines are perpendicular Their slopes are?

Theorem 105: If

**two**nonvertical**lines are perpendicular**, then**their slopes are**opposite reciprocals of one another, or the product of**their slopes**is −1.## How do you find the equation of a line that is perpendicular?

## How do you write an equation for parallel and perpendicular lines?

## How do you find the equation of a line?

The

**equation**of a**line**is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a**line**passes through, and its slope, this page will show you**how to find**the**equation**of the**line**.## What is the rule for perpendicular lines?

If two non-vertical

**lines**in the same plane intersect at a right angle then they are said to be**perpendicular**. Horizontal and vertical**lines**are**perpendicular**to each other i.e. the axes of the coordinate plane. The slopes of two**perpendicular lines**are negative reciprocals.## What type of angle do perpendicular lines form?

**Perpendicular lines**are

**lines**that intersect at a right (90 degrees)

**angle**.

## What does intersecting lines look like?

The two

**lines**marked in red cross each other at one point. These are called**intersecting lines**.**Intersecting lines**cross or meet each other at a certain point. ✅**Intersecting lines**form angles.## Can two lines with positive slopes be perpendicular?

is not

**possible for two lines with positive slopes to be perpendicular**to each other.## How do you determine if two lines are parallel?

We can

**determine**from their**equations whether two lines are parallel**by comparing their slopes.**If**the slopes are the same and the y-intercepts are different, the**lines are parallel**.**If**the slopes are different, the**lines**are not**parallel**. Unlike**parallel lines**, perpendicular**lines**do intersect.