Write an equation involving absolute value this graph.

Question

On the graph from left to right it: -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3. The dots are put on -5 and -1.

Answer 1

Find the center of the two dots (this is also the average of the dots) and let that be c

Next, find the radius of the two dots (this is the positive difference of the dots divided by 2) and let that be r.

The equation should be |x-c| = r

For example:

Let's say the dots are 4 and 10. The center is at 7 and the radius is (10-4)/2 = 3.

Therefore, the equation is |x-7| = 3.

If we plug in 4 and 10 for x, we see that the equation is satisfied.