Question

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

Answer 1

9514 1404 393

Answer:

(a) y = 1/2x -2

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