Answer:
(7, 13/3)
Step-by-step explanation:
We want to find where these lines intersect, so we will solve the system of equations.
y = 1/3 x + 2
y = 4/3 x - 5
Subtracting the first equation from the second, we get
y - y = 4/3 x - 1/3 x - 5 - 2
0 = x - 7
x = 7
Plugging this into either of the original equations, we get
y = 1/3(7) + 2 = 7/3 + 2 = 7/3 + 6/3 = 13/3
y = 4/3(7) - 5 = 28/3 - 5 = 28/3 - 15/3 = 13/3
In both cases, we get y = 13/3
