Question

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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Answer 1

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

Explanation:

The slope of the line =
`\[(-1)/(2)\]`

So the general format of the line equation will be
`\[y=(-1)/(2)x + c\]`

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

Substituting the values in the equation of the line,

`\[2=(-1)/(2)*(-6) + c\]`

`\[=> 2=3 + c\]`

`\[=> c = -1\]`

So the line equation is
`\[y=(-1)/(2)x -1\]`

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