Question

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.

Answer 1

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:

\[
y = \frac{1}{5}
\]