How do you identify the slope for 3y= x -1/2?

Apr 7, 2015

$3 y = x - \frac{1}{2}$

The general linear equation is $y = m x + c$.
$m = s l o p e$
$c$=y-intercept

To find a slope of the line from the liner equation, you have to make sure that all values are in order of the general equation of $y = m x + c$

In $3 y = x - \frac{1}{2}$, all values are in the correct position already. However, we have to simplify this linear equation further to ensure that our linear equation is $y = m x + c$

$3 y$ of $3 y = x - \frac{1}{2}$ has to become $y$ of $y = m x + c$
We can do that by dividing $3 y = x - \frac{1}{2}$ by $3$.

$\frac{3 y}{3} = \frac{x - \frac{1}{2}}{3}$
$y = \frac{1}{3} x - \frac{1}{6}$ as we compare this to the general equation of $y = m x + c$, $m$ which is the slope is multiplied together with $x$, hence, the slope for $3 y = x - \frac{1}{2}$ or $y = \frac{1}{3} x - \frac{1}{6}$ is $\frac{1}{3}$
The text passage contains a mathematical question about identifying the slope of a given linear equation, and it provides a detailed answer to the question.
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
How do you identify the slope for 3y= x -1/2?

Apr 7, 2015

$3 y = x - \frac{1}{2}$

The general linear equation is $y = m x + c$.
$m = s l o p e$
$c$=y-intercept

To find a slope of the line from the liner equation, you have to make sure that all values are in order of the general equation of $y = m x + c$

In $3 y = x - \frac{1}{2}$, all values are in the correct position already. However, we have to simplify this linear equation further to ensure that our linear equation is $y = m x + c$

$3 y$ of $3 y = x - \frac{1}{2}$ has to become $y$ of $y = m x + c$
We can do that by dividing $3 y = x - \frac{1}{2}$ by $3$.

$\frac{3 y}{3} = \frac{x - \frac{1}{2}}{3}$
$y = \frac{1}{3} x - \frac{1}{6}$ as we compare this to the general equation of $y = m x + c$, $m$ which is the slope is multiplied together with $x$, hence, the slope for $3 y = x - \frac{1}{2}$ or $y = \frac{1}{3} x - \frac{1}{6}$ is $\frac{1}{3}$
user
The text passage contains a mathematical question about identifying the slope of a given linear equation, and it provides a detailed answer to the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER