Question

What is the solution to the system that is created by the equation y = negative x + 6 and the graph shown below? On a coordinate plane, a line goes through (0, 0) and (4, 2). (–8, –4) (–4, –2) (4, 2) (6, 3)

Answer 1

C: (4,2)

Explanation:

Answer 2

The solution point is (4,2).

Explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

`(y - 2)/(2 - 0) = (x - 4)/(4 - 0)`

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

⇒ y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)