# Perpendicular equation help

• Aug 18th 2012, 09:39 AM
snickerdoodle27
Perpendicular equation help
Find p such that the lines whose equations are 3px + 8y = 5 and 6y - 4px = -1 are perpendicular.

The answer should be p = 2, -2

But I don't understand how to obtain that.
• Aug 18th 2012, 10:35 AM
Right the equations in y=mx+b form. In the first equation you'll have the slope $m_1=\frac{-3p}{8}$ and in the second $m_2=\frac{4p}{6}=\frac{2p}{3}$. Use what you know about the relationship between the slopes of perpendicular lines to solve for p.
Right the equations in y=mx+b form. In the first equation you'll have the slope $m_1=\frac{-3p}{8}$ and in the second $m_2=\frac{4p}{6}=\frac{2p}{3}$. Use what you know about the relationship between the slopes of perpendicular lines to solve for p.
The text passage contains a mathematical question about finding the value of \( p \) such that two given lines are perpendicular. The answer \( p = 2, -2 \) is provided, and the solution method is explained.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Perpendicular equation help

• Aug 18th 2012, 09:39 AM
snickerdoodle27
Perpendicular equation help
Find p such that the lines whose equations are 3px + 8y = 5 and 6y - 4px = -1 are perpendicular.

The answer should be p = 2, -2

But I don't understand how to obtain that.
• Aug 18th 2012, 10:35 AM
Right the equations in y=mx+b form. In the first equation you'll have the slope $m_1=\frac{-3p}{8}$ and in the second $m_2=\frac{4p}{6}=\frac{2p}{3}$. Use what you know about the relationship between the slopes of perpendicular lines to solve for p.
Right the equations in y=mx+b form. In the first equation you'll have the slope $m_1=\frac{-3p}{8}$ and in the second $m_2=\frac{4p}{6}=\frac{2p}{3}$. Use what you know about the relationship between the slopes of perpendicular lines to solve for p.
user
The text passage contains a mathematical question about finding the value of \( p \) such that two given lines are perpendicular. The answer \( p = 2, -2 \) is provided, and the solution method is explained.

TYPE: SINGLE_QUESTION_WITH_ANSWER