Y= -3x
y= -4x+2
solving system of equations

The points on the graph would be (2, -6).

Hope this helps! (:

x = 2 ;  y = -6 .  Or, write as:  (2, -6) .

Explanation:

Given: 

 y = 3x ; 
 y = -4x + 2 

y = y ; 

So,  both equations are equal.

As such:

 -3x = -4x + 2 ; 

 Add "3x" and subtract "2" from EACH side of the equation:

   -3x + 3x - 2 = -4x + 2 + 3x - 2 ; 

to get:

    -2 = -x ;  ↔  -1x = -2 ;

Divide EACH side of the equation by "-1"; to isolate "x" on one side of the equation ; and to solve for "x" ; 

    -1x / -1  =  -2 / -1 ;

      x = 2

Now, to solve for "y":

In either equation, plug "2" for "x" to get "y".

Let us try both equations, to confirm if the values for "y" are equal:

y = -3x ;   

y = -3* (2) = -6 .

y = -4x + 2 ;

y = -4(2) + 2 = -8 + 2 = -6 .

y = -6 = -6 . Yes!

So, x = 2;   y = -6 .  Or, write as:  (2, -6).