What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)` ?

A.

`y = (x)/(2) -2`

B.

`y = - (x)/(2) -1`

C.

`y = 2x + 1`

D.

`y = -2x −1`

B.   `y = - (x)/(2) -1`

Step-by-step explanation:

The slope of the line =

So the general format of the line equation will be

Also given that the line passes through the point (-6,2).

Substituting the values in the equation of the line,

So the line equation is

Among the given options, option B is the correct one.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.