Can anyone help with this question about finding the total distance traveled on a velocity time graph?

Question

Question about a velocity time graph for a partical

Answer 1

Distance involves speed(and is always positive), displacement involves velocity(need to take care of the signs).

Here the graph is linear and graphically you have $x = \int_{t_i}^{t_f} vdt = \text{area of v-t graph} $ .

First compute the areas of the $2$ triangles formed.

For Distance add both areas(no need to consider negative sign).
For displacement, subtract the second area from the first (here velocity is negative).