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

9514 1404 393

  (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

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents