Asked by cesat
A line has a slope of 0 and a y-intercept of
1
5
. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
1
5
. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
A line with a slope of 0 is a horizontal line. The y-intercept indicates where the line crosses the y-axis. In this case, the y-intercept is given as \( \frac{1}{5} \).
The slope-intercept form of a line is given by the equation:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
Since the slope \( m \) is 0 and the y-intercept \( b \) is \( \frac{1}{5} \), we can substitute these values into the equation:
\[
y = 0x + \frac{1}{5}
\]
Simplifying this, we can drop the \( 0x \) term, leading to:
\[
y = \frac{1}{5}
\]
Thus, the equation of the line in slope-intercept form is:
\[
y = \frac{1}{5}
\]
The slope-intercept form of a line is given by the equation:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
Since the slope \( m \) is 0 and the y-intercept \( b \) is \( \frac{1}{5} \), we can substitute these values into the equation:
\[
y = 0x + \frac{1}{5}
\]
Simplifying this, we can drop the \( 0x \) term, leading to:
\[
y = \frac{1}{5}
\]
Thus, the equation of the line in slope-intercept form is:
\[
y = \frac{1}{5}
\]
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