The equation of a line with slope m and y-intercept b in slope-intercept form, is:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
If the slope is equal to 0 and the y-intercept is equal to 1, then:
![y=0\cdot x+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/290871l5fp946ccur26udgos6nqkn8fp85.png)
Since 0 times any number is 0, then 0x=0:
![\begin{gathered} \Rightarrow y=0+1 \\ \Rightarrow y=1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/34kv16wcos33p3plz5gxuyqec20odxuat7.png)
Therefore, the equation of a line with slope 0 and y-intercept 1 is:
![y=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/dy87pp1e3lz28ku95s9s4tv5bvbrg0dkd1.png)