ANSWER
[tex]\begin{gathered} m\text{ = -}\frac{1}{6} \\ b\text{ = 2} \end{gathered}[/tex]EXPLANATION
Given equation
[tex]y\text{ = -}\frac{1}{6}x\text{ + 2}[/tex]To find the slope and intercepts of the equation, follow the steps below
Step 1: Write the general form of the slope-intercept equation
[tex]y\text{ = mx + b}[/tex]Where
m is the slope of the line
b is the y-intercept o the y-axis
Step 2: Find the slope intercept of the equation
[tex]\begin{gathered} m\text{ = -}\frac{1}{6} \\ b\text{ = 2} \end{gathered}[/tex]