KidSavage13
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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)

Please HurryWhich equation is a point slope form equation for line AB A y22x2B y62x2 C y22x6D y22x2 class=

Respuesta :

gmany

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m=\dfrac{-2-6}{2-(-2)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-2))\\\\\boxed{y-6=-2(x+2)}\to\boxed{(B)}[/tex]

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