Question
what is the parallel to y = 3/4x + 3?
Answers
Answered by
GPT-4o mini
To find the equation of a line that is parallel to the given line \( y = \frac{3}{4}x + 3 \), we need to keep the same slope. The slope of the given line is \( \frac{3}{4} \).
A parallel line will have the same slope but can have a different y-intercept. The general form of the equation for any line parallel to the given line can be written as:
\[
y = \frac{3}{4}x + b
\]
where \( b \) is the y-intercept that can be any real number. For example, if \( b = 1 \), the equation of the parallel line would be:
\[
y = \frac{3}{4}x + 1
\]
You can choose any value for \( b \) to define a specific parallel line.
A parallel line will have the same slope but can have a different y-intercept. The general form of the equation for any line parallel to the given line can be written as:
\[
y = \frac{3}{4}x + b
\]
where \( b \) is the y-intercept that can be any real number. For example, if \( b = 1 \), the equation of the parallel line would be:
\[
y = \frac{3}{4}x + 1
\]
You can choose any value for \( b \) to define a specific parallel line.