Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
25. Find the slope of a line parallel to 2x-y= 16Asked by BlUbArRy!2#
8.
Find the slope of a line parallel to 3x – y = 1
Find the slope of a line parallel to 3x – y = 1
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the slope of a line parallel to the line given by the equation \(3x - y = 1\), we first need to rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) represents the slope.
Starting with the equation:
\[
3x - y = 1
\]
We rearrange it to solve for \(y\):
\[
-y = -3x + 1
\]
Multiplying through by -1 gives:
\[
y = 3x - 1
\]
From this equation, we can see that the slope (\(m\)) of the line is \(3\).
Since parallel lines have the same slope, the slope of any line parallel to this one is also \(3\).
Thus, the slope of a line parallel to \(3x - y = 1\) is:
\[
\boxed{3}
\]
Starting with the equation:
\[
3x - y = 1
\]
We rearrange it to solve for \(y\):
\[
-y = -3x + 1
\]
Multiplying through by -1 gives:
\[
y = 3x - 1
\]
From this equation, we can see that the slope (\(m\)) of the line is \(3\).
Since parallel lines have the same slope, the slope of any line parallel to this one is also \(3\).
Thus, the slope of a line parallel to \(3x - y = 1\) is:
\[
\boxed{3}
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.