How do you find the point of intersection of #f(x)=x# and #g(x)=-x-2#?

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Answer 1 · 2016-11-04T19:39:07

These lines intersect at #x = -1#

The lines intersect where #f(x) = g(x)#.

Therefore they intersect where:

#x = -x - 2#

Solving for #x# while keeping the equation balanced gives:

#x + x = -x - 2 + x#

#2x = 0 - 2#

#2x = -2#

#2x / 2 = -2/2#

#1x = -1#

#x = -1#