What's the slope for 4|x-5|=12

Step-by-step explanation:

The graph is v-shaped and has TWO slopes, one for the segment of the graph to the right of x = 5 and one for the segment to the left.

Start by simplifying the given 4|x-5|=12. Dividing both sides by 4, we get:

|x-5|=3

This has two solutions. One stems from x - 5 = 3 and is x = 8

The other stems from - (x - 5) = 3, or - x + 5 = 3, or - x = - 2, or x = 2.

Since there is only one variable here (x), the concept of "slope" is meaningless here.