Use any method to find the point of intersection of f(x)=3x-5 and g(x)=-4x+9

You can set the equations equal to each other and solve for x and then plug in that answer into either equation to get f(x).
So, f(x)=g(x) 
3x-5=-4x+9
3x=-4x+14
7x=14
x=2
Now you plug x into the equations.
f(x)=3(2)-5   f(x)=6-5   f(x)=1
g(x)=-4(2)+9   g(x)=-8+9   g(x)=1
f(x) and g(x) are also equal to y.
So the point of intersection is (2,1).

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