Answer:
[tex]y=\frac{-1}{6} x+4[/tex]
Step-by-step explanation:
The equation of a line is:
[tex]y=mx+b[/tex]
...where m is the slope, and b is the y-intercept. You have the slope, so plug it into the equation.
[tex]y=\frac{-1}{6} x+b[/tex]
You also have a coordinate, and therefore, you have x and y. Thus, those values into the equation to find b.
[tex]5=\frac{-1}{6}(-6)+b\\ 5=1+b\\4=b[/tex]
Hence, your final equation is:
[tex]y=\frac{-1}{6} x+4[/tex]
