We want to find the equation of the line that has slope = 0 and y-intercept = 3
Recall the equation of a line in slope-intercept form:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept
We are given:
Slope = m = 0
Y-intercept = b = 3
We simply plug in the values into the equation and get our answer. Shown below:
[tex]\begin{gathered} y=mx+b \\ y=(0)x+3 \\ y=0+3 \\ y=3 \end{gathered}[/tex]This is a horizontal line that goes through y = 3. For further understanding, the graph is shown below: