Given: f(x) = 3x+2 and g(x) = -4x-2 Find the point of intersection algebraically and with your calculator

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

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer