Final answer:
The value of u is 3.
Step-by-step explanation:
The slope of a line is found using the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (u, -1) and (-1, -6), and a slope of -5/4, we can substitute the values into the formula:
-5/4 = (-6 - (-1)) / (-1 - u)
Simplifying the equation, we get:
-5/4 = -5 / (-1 - u)
To solve for u, cross-multiply:
-5 * (-1 - u) = -4 * -5
5 + 5u = 20
5u = 15
u = 3