Question 1062053
They intersect when the x and y values match.  Setting the two functions equal to each other fixes the y value, then we can solve for x:

   y = 0.4x-2.4 = -x + 6
            1.4x = 8.4
                 x = 6

y = 0.4(6) - 2.4 = 2.4 - 2.4 = 0    so (6,0) is where they intersect.

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Ans:  The two lines intersect at (6,0)
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Check:   Plug x=6 into the other function, just to be sure it produces y=0:
             y = -6+6 = 0  (ok)