I'm assuming that you mean the x axis
We have a triangular area...
The line y = 2x - 4 and y = -3x + 16 intersect at the x value
2x - 4 = -3x + 16
5x = 20
x =4
So...x = 2(4) - 4 = 4
And the y coordinate is 2(4) - 4 = 4....and thid the height of the triangular aresw
And y = 2x - 4 intersects the x axis at x = 2
And y = -3x + 16 intersects the x axis at 16/3
So....we have a triangle with a base of [ 16/3 - 2] = 10/3 and a height of 4
So....the area is (1/2)(10/3) (4) = 20/3 units^2