Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AReview the graphs of a system of two linear equations in two variables: y=x−6 and y=−x+4. Find the solution to both equations.%0D%0A%0D%0A(1 point)%0D%0AThe intersection point is ().

Answer 1

The intersection point of the two graphs can be found by finding the x-coordinate where the two lines intersect.

From the given equations, we have:
y = x - 6
y = -x + 4

To find the x-coordinate, we can set the two equations equal to each other:
x - 6 = -x + 4

Adding x and 6 to both sides:
2x = 10

Dividing both sides by 2:
x = 5

Now we can substitute this value of x back into either equation to find the y-coordinate. Let's use the first equation:
y = x - 6
y = 5 - 6
y = -1

Therefore, the intersection point is (5, -1).