Question

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?

(y − 8) = 2(x − 3)
(y + 3) = −2(x + 4)
(y − 2) = −2(x + 4)
(y + 4) = 2(x + 3)

Answer 1

The last one is the good one.

The point slope formula is,


`y-y_0=m(x-x_0)`

Where,


`m=(y_1-y_0)/(x_1-x_0)`

And,


`(x_1,y_1)=(-3,-4)`


`(x_0,y_0)=(0,2)`

So,


`y-(-4)=(-4-2)/(-3-0)(x-(-3))`


`y+4=2(x+3)`