Question

Write the point-slope form of the equation of the line with slope -2 that passes through the point (-3, -8).

Answer 1

As given by the question

There are given that the slope and point.

`\begin{gathered} \text{slope(m)}=-2 \\ Point\colon\text{ (x, y)=(-3, -8)} \end{gathered}`

Now,

From the formula of point-slope form:

`y-y_1=m(x-x_1)`

Where,

`x_1=-3,y_1=-8,\text{ m=-2}`

Then,

Put all values into the above formula:

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-8)_{}=-2(x-(-3)_{}) \\ y+8=-2(x+3) \end{gathered}`

So,

The equation of a line is y+8=-2(x+3).

Hence, the correct option is B.