Answer:
the graphs are difficult to read. The answer is whichever graph has the point (-3,-8) I think option 2.
Step-by-step explanation:
Find where the two equations intersect.
Two equations intersect where they are equal.
(4/3)x-4 = (2/3)x-6
(4/3)x-(2/3)x - 4 = - 6 (subtracted (2/3)x from both sides)
(2/3)x -4 = -6
(2/3)x = -2 (added 4 to both sides)
2x = - 6 (multiplied both sides by 3)
x = - 3 (divided both sides by 2)
At this point we know x is negative so the answer cannot be options 1 or 3.
Let's solve for y plugging x into any of the equations.
y = (2/3)(-3) -6 = -2 - 6 = -8
y = (4/3)(-3) -4 = -4 -4 = -8
So the equations intersect at (x,y)=(-3,-8)
