Which graph represents this system? y = 2 x + 1. y = negative 4 x + 7. on a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5). on a coordinate plane, a line goes through (negative 4, 0) and (0, 7) and another line goes through (negative 4, 3) and (0, 1).

On a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5) will be the correct option as there is (1,3) a common point.

Step-by-step explanation:

The given system of equation are  

y = 2x + 1 (1) and  

y = - 4x + 7 (2)  

Now, solving those two equations we get,  

2x + 1 = - 4x + 7

⇒ 6x = 6

⇒ x = 1

Now, from equation (1) we get, y = 2x + 1 = 2(1) + 1 = 3

Therefore, both the equation passes through the point (1,3) as it is the solution of the system of equations.

So, on a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5) will be the correct option as there is (1,3) a common point. (Answer)