Question

Find the value of x if the slope is -1 and the orders pairs are (3x,4) (x,8)

Answer 1

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.