Answer:
x = -4/7, y = 2/7
Step-by-step explanation:
Given: f(x) = 3x + 2 and g(x) = - 4x - 2
The point of intersection of the two functions is the point at which both functions intersect. We have to solve the functions simultaneously to get the solution.
f(x) = y = 3x + 2
y = 3x + 2 (1)
g(x) = y = -4x - 2
y = -4x - 2 (2)
Subtract equation 2 from equation 1:
0 = 7x + 4
7x = -4
x = -4/7
Put x = (-4/7) in y = 3x + 2:
y = 3(-4/7) + 2 = -12/7 + 2 = 2/7
