Estimate the intersection point of the graphs of the following linear equations in two variables.

Question

y = x + 2
y = -x + 6

Answer 1

To find the intersection point of the two graphs, we can set the two equations equal to each other and solve for x:

x + 2 = -x + 6
2x = 4
x = 2

Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y:

y = 2 + 2
y = 4

Therefore, the intersection point of the two graphs is (2, 4).