The pair of points (6,y) and (10,-1) lie on a line with slope 1/4. What is the value of y?

A. -5
B. -2
C. 2
d.5

The formula for finding the slope between two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

We can plug in the values from the given points:

1/4 = (-1 - y) / (10 - 6)

Now, we can solve for y:

1/4 = (-1 - y) / 4

1 = -1 - y

1 + 1 = -y

2 = -y

y = -2

Therefore, the value of y is -2.

The answer is B. -2.