Question

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

Answer 1

Answer:

B.   `y = - (x)/(2) -1`

Step-by-step explanation:

The slope of the line = $\[\frac{-1}{2}\]$

So the general format of the line equation will be $\[y=\frac{-1}{2}x + c\]$

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

Substituting the values in the equation of the line,

$\[2=\frac{-1}{2}*(-6) + c\]$

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

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

So the line equation is $\[y=\frac{-1}{2}x -1\]$

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