Final answer:
To find the value of x so that the line passing through the points (x, 4) and (6, -1) has a slope of 5/6, we can use the formula for slope and solve for x.
Step-by-step explanation:
To find the value of x so that the line passing through the points (x, 4) and (6, -1) has a slope of 5/6, we can use the formula for slope:
slope = (change in y) / (change in x)
Substituting the values, we have:
(5/6) = (4 - (-1)) / (x - 6)
Simplifying the expression:
5(x - 6) = 5(4 - (-1))
Expanding and solving for x:
5x - 30 = 25 + 5
5x = 60
x = 12
Therefore, the value of x is 12.