Answer:
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)
