Answer:
B. `y = - (x)/(2) -1`
Step-by-step explanation:
The slope of the line = [tex]\[\frac{-1}{2}\][/tex]
So the general format of the line equation will be [tex]\[y=\frac{-1}{2}x + c\][/tex]
Also given that the line passes through the point (-6,2).
Substituting the values in the equation of the line,
[tex]\[2=\frac{-1}{2}*(-6) + c\][/tex]
[tex]\[=> 2=3 + c\][/tex]
[tex]\[=> c = -1\][/tex]
So the line equation is [tex]\[y=\frac{-1}{2}x -1\][/tex]
Among the given options, option B is the correct one.
