Question

How do you find the slope of `y=2|x-3|+5`?

Answer 1

This one has two slopes

Explanation:

If `x>=3` then the slope is `+2` because the function is equivalent to
`y=2(x-3)+5=2x-6+5=2x-1`

If `x<3` the the signs between the bars flip and the function becomes:
`y=2(-x+3)+5=-2x+6+5=-2x+11`
And then the slope is `-2`
graph{2|x-3|+5 [-12.8, 19.25, -1.21, 14.81]}