The equation of a line with slope m and y-intercept b in slope-intercept form, is:
[tex]y=mx+b[/tex]
If the slope is equal to 0 and the y-intercept is equal to 1, then:
[tex]y=0\cdot x+1[/tex]
Since 0 times any number is 0, then 0x=0:
[tex]\begin{gathered} \Rightarrow y=0+1 \\ \Rightarrow y=1 \end{gathered}[/tex]
Therefore, the equation of a line with slope 0 and y-intercept 1 is:
[tex]y=1[/tex]
