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What is the equation of the line, in point-slope form, that passes through the points (-3, -1) and (-6, 8)?
A. y + 8 = -3(x - 6)
B. y - 8 = -3(x + 6)
C. y + 8 = 3(x - 6)
D. y - 8 = 3(x + 6)

Respuesta :

gmany

Answer:

B. y - 8 = -3(x + 6)

Step-by-step explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point

The formula of a slope:

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

We have the points (-3, -1) and (-6, 8). Substitute:

[tex]m=\dfrac{8-(-1)}{-6-(-3)}=\dfrac{9}{-3}=-3\\\\y-8=-3(x-(-6))\\\\y-8=-3(x+6)[/tex]

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