Final answer:
To find the intersection point of the graphs 2x - y = 9 and y = 6 - 3x, we can solve the system of equations. The intersection point is (3, -3).
Step-by-step explanation:
To find the intersection point of the graphs 2x - y = 9 and y = 6 - 3x, we can solve the system of equations. First, we can rearrange the first equation to isolate y: y = 2x - 9.
Then, we can substitute this expression for y into the second equation: 2x - 9 = 6 - 3x. Simplifying this equation, we get 5x = 15.
Dividing both sides by 5, we find x = 3. Substituting this value back into either of the original equations, we find y = -3. Therefore, the intersection point is (3, -3).