MackenzieHockenberry
MackenzieHockenberry MackenzieHockenberry
  • 21-05-2021
  • Mathematics
contestada

What is the equation of the line that passes through (-2, 2) and (1,-4)?
A.Y=-2x-4
B.Y=2x-2
C.Y=2x+4
D.Y=-2x-2

What is the equation of the line that passes through 2 2 and 14 AY2x4 BY2x2 CY2x4 DY2x2 class=

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 21-05-2021

Answer:

[tex]Equation \ of \ the \ line => (y -y_{2}) =m(x -x_{2} )[/tex]

[tex]slope, m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-4-2}{1--2} = \frac{-6}{3} = -2[/tex]

Equation the line passing through (-2, 2) and ( 1, -4)

[tex](y -- 4) = -2(x -1)\\\\(y +4) = -2x + 2\\\\y = -2x +2 -4 \\\\y = -2x -2[/tex]

option D

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