contestada

What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?
A. y + 1 = -3(x + 9)
B. y - 1 = -3(x - 9)
C. y + 1 = 3(x + 26)
D. y - 1 = 3(x - 26)

Respuesta :

gmany

Answer:

B. y - 1 = -3(x - 9)

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 (9, 1) and (4, 16). Substitute:

[tex]m=\dfrac{16-1}{4-9}=\dfrac{15}{-5}=-3[/tex]

[tex]y-1=-3(x-9)[/tex]

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