The pair of points (6, y) and (10, –1) lie on a line with slope one-fourth. What is the value of y?
-5
-2
2
5
Let's use the slope formula to find the value of y:
m = (y2 - y1) / (x2 - x1)
1/4 = (-1 - y) / (10 - 6)
1/4 = (-1 - y) / 4
1 = -1 - y
y = -1 - 1
y = -2
So, the value of y is -2.