Final answer:
To find the value of x when the slope is -1 for the ordered pairs (3x, 4) and (x, 8), the slope formula is applied, and after simplifying, we determine that x equals 2.
Step-by-step explanation:
To find the value of x when the slope is -1 and the ordered pairs are (3x, 4) and (x, 8), we use the slope formula which is (y2 - y1) / (x2 - x1). Plugging in our values, we get:
(8 - 4) / (x - 3x) = -1
Simplify to get:
4 / (x - 3x) = -1
This simplifies further to:
4 / (-2x) = -1
Now we solve for x:
-2x = 4 / -1
x = -4 / -2
x = 2
Thus, the value of x is 2.