Solution:
The general form of an equation of a line in slope-intercept form is given below as
[tex]\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Given in the question, we have
[tex]\begin{gathered} slope=m=-6 \\ y-intercept=c=-1 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} y=mx+c \\ y=-6x+1 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow y=-6x+1[/tex]