contestada

What is the equation in point slope form of the line that passes through the points (-1, 4) and (3,-4) ?

A. y-3=-2(x+4)

B.y-4=2(x+3)

C.y+4=-2(x-3)

D.y+4=2(x-3)

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 (-1, 4) and (3, -4). Substitute:

[tex]m=d\frac{-4-4}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-(-4)=-2(x-3)\\\\\boxed{y+4=-2(x-3)}\to\boxed{C.}[/tex]

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