how to solve this question. this is slope: (x,x-2) and (x+2,x)

What are you "solving" ?

are you finding the slope?

if so, then

slope = (x-2 - x)/(x - (x+2))
= -2/-2
= 1

What is the slope of the line?

The slope of a line is equal to the following fraction:

(number of vertical units it takes to travel from one point to another)/(number of horizontal units it takes to travel from one point to another.

The letter m has been used to represent the slope in math courses.

If a line has points
(a, b) and (c, d), then the slope can be found by using this formula:

m = (d - b)/(c - a)

In your question:

Plug into the formula above the value of a, b c and d and then simplify the fraction.

I'll let you do that part of the question.

To find the slope between two points, you can use the formula:

slope = (change in y)/(change in x)

Here, the given points are (x, x-2) and (x+2, x). Let's label these points as P(x1, y1) and Q(x2, y2).

Point P: P(x1, y1) = (x, x-2)
Point Q: Q(x2, y2) = (x+2, x)

Now, we can calculate the change in x and change in y:

change in x = x2 - x1 = (x+2) - x = 2
change in y = y2 - y1 = x - (x-2) = 2

Now, we can plug these values into the slope formula:

slope = (change in y)/(change in x) = 2/2 = 1

Therefore, the slope between the points (x, x-2) and (x+2, x) is 1.