Recent

Show all results for ""

🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

Finding the Equation of a Perpendicular Line

10 Questions

2 Views

Finding the Equation of a Perpendicular Line

Created by

@BountifulMandolin

Podcast Beta

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the slope of the line that is perpendicular to the line with a slope of 5/3?

5/3

15/9

3/5

-3/5 (correct)

What is the point-slope form of the equation of a line?

y = mx + b

x = my + b

y = m/x + b

y - y1 = m(x - x1) (correct)

What is the equation of the line that passes through the point (6,4) and is perpendicular to the line with a slope of 5/3?

y = 3/5x - 2

y = -3/5x + 38/5 (correct)

y = -5/3x + 1

y = 5/3x + 2

What is the purpose of using an online calculator to verify the result?

To plot the line and check if it passes through the given point Signup and view all the answers

What is the value of x1 in the point-slope form of the equation of the line?

6 Signup and view all the answers

Un aumento porcentual es una forma de expresar un aumento en cantidad como un ______ del monto original.

porcentaje Signup and view all the answers

La fórmula para calcular un aumento porcentual es (Aumento ÷ ______ amount) × 100

original Signup and view all the answers

Para encontrar un ______ de un número, se multiplica el número por el porcentaje (como decimal).

porcentaje Signup and view all the answers

Un descenso porcentual es una forma de expresar un descenso en cantidad como un ______ del monto original.

porcentaje Signup and view all the answers

Para convertir un ______ a un decimal, se divide entre 100.

porcentaje Signup and view all the answers

Study Notes

The problem is to find the equation of the line that passes through the point (6,4) and is perpendicular to the line with a slope of 5/3.
The equation of a line in point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Since the line is perpendicular to the line with a slope of 5/3, the slope of the desired line is the negative reciprocal of 5/3, which is -3/5.
Substituting the point (6,4) and the slope -3/5 into the equation, we get y - 4 = -3/5(x - 6).
Simplifying the equation, we get y = -3/5x + 38/5.
To verify the result, we can use an online calculator that takes the slope and a point as input and plots the line.
The calculator confirms that the line y = -3/5x + 38/5 passes through the point (6,4) and is perpendicular to the line with a slope of 5/3.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Find the equation of a line that passes through a point and is perpendicular to another line. Learn how to use the point-slope form and the concept of negative reciprocal slope. Verify the result using an online calculator.