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

We can use the slope formula to find the slope of the line passing through the points (6, y) and (10, -1):

m = (y - (-1))/(6 - 10)
1/4 = (y + 1)/(-4)
Cross multiplying gives:
-4 = 4(y + 1)
-4 = 4y + 4
Subtracting 4 from both sides gives:
-8 = 4y
Dividing both sides by 4 gives:
y = -2
Therefore, the value of y is -2.