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`
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Respuesta :

Answer:

The answer to your question is the letter B.    y = -1/2x - 1

Step-by-step explanation:

Data

A (-6, 2)

slope = m = -1/2

Formula

             y - y1 = m(x - x1)

x1 = -6     y1 = 2

Substitution

            y - 2 = -1/2(x + 6)

Expand

            y - 2 = -1/2x - 6/2

Simplify

            y - 2 = -1/2x - 3

Solve for y

                 y = -1/2x - 3 + 2

Result

                 y = -1/2x - 1