Question

Please Hurry!!!

Which equation is a point slope form equation for line AB ?


(A) y−2=−2(x+2)

(B) y−6=−2(x+2)

(C) y−2=−2(x+6)

(D) y−2=2(x+2)

Answer 1

The point-slope form:

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

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points A(-2, 6) and B(2, -2). Substitute:

`m=(-2-6)/(2-(-2))=(-8)/(4)=-2\\\\y-6=-2(x-(-2))\\\\\boxed{y-6=-2(x+2)}\to\boxed{(B)}`