SOLUTION: find the point of intersection of f(x)=x+2 and g(x)=-x-4

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: find the point of intersection of f(x)=x+2 and g(x)=-x-4      Log On


   



Question 68677: find the point of intersection of f(x)=x+2 and g(x)=-x-4
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
To find the point of intersection, we can graph the function.
graph+%28200%2C+200%2C+-5%2C+4%2C+-5%2C+4%2C+x%2B2%2C+%28-x%29-4%29

Looking at the graph, the point of intersection is (-1, -3),x=-1 and y=-3

f(x) = g(x), f(x)=x+2 and g(x)=-x-4
-x - 4 = x + 2
-2x = 6
x = -3


f(x) = x + 2 , x = -3
f(x) = -3 + 2
f(x) = -1

or
g(x) = -x-4, x = -3
g(x) =-(-3) - 4
g(x) = 3-4
= -1