Question

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Answer 1

Find point of intersection by solving both equations together.

Answer 2

x = - x + 8 = > 2x = 8 => (x=4)
y = x = 4

Point of intersection (4,4)

Answer 3

Now you could find the area using definite integration or just triangle area from the drawn shape.

Answer 4

Triangle method:

Area = 0.5 * base * height

height = 4 , base = 8

Area = 0.5 * 8 * 4 = 16 unit^2

Answer 5

Ok I kinda get what you did I'm just not exactly sure how you found the point of intersection

Answer 6

The area using integration:

integrate y=x from 0 to 4



Integrate y= -x + 8 from 4 to 8



Total area = the sum = 8 + 8 = 16 unit^2