jocelyn3250 jocelyn3250
  • 02-07-2019
  • Mathematics
contestada

Use the coordinates of the labeled point to find the point-slope equation of
the line
(2,-5)

Use the coordinates of the labeled point to find the pointslope equation of the line 25 class=

Respuesta :

gmany
gmany gmany
  • 03-07-2019

Answer:

[tex]\large\boxed{y+5=-4(x-2)}[/tex]

Step-by-step explanation:

The point-slope equation of a line:

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

m - slope

The formula of a slope:

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

From the graph we have the points: (0, 3) and (2, -5). Substitute:

[tex]m=\dfrac{-5-3}{2-0}=\dfrac{-8}{2}=-4[/tex]

[tex]y-(-5)=-4(x-2)\\\\y+5=-4(x-2)[/tex]

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