Which equation in point-slope form contains the points (2.6) and (-1, 3)?
@ y-2 = 1(x-6)
6 y- 6 = 1(x - 2)
© y-2=-1(x - 6)
@y-6=-1(x - 2)

Respuesta :

gmany

Answer:

B. y - 6 = 1(x - 2)

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 on a line

The formula of a slope:

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

We have the points (2, 6) and (-1, 3).

Substitute:

[tex]m=\dfrac{3-6}{-1-2}=\dfrac{-3}{-3}=1[/tex]

Take the point (2, 6):

[tex]y-6=1(x-2)[/tex]