narvaezjohn68 narvaezjohn68
  • 25-04-2020
  • Mathematics
contestada

What is the equation of the line that passes through the points (2, -1) and (6, 1)?
o y = 1/2 X-2
y= 2x-5
oy - 2x - 1
o y=-2x-3

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 09-07-2021

9514 1404 393

Answer:

  (a)  y = 1/2x -2

Step-by-step explanation:

You can quickly determine that none of the equations with ±2x will work by trying the second point, (6, 1), in them. This only leaves ...

  y = 1/2x -2

__

Or, you can use the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-1))/(6 -2) = 2/4 = 1/2

This tells you the equation will be of the form ...

  y = 1/2x +b

Only one choice matches:

  y = 1/2x -2

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