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 linear equations, we can set them equal to each other:

x + 2 = -x + 6

Combining like terms, we get:

2x = 4

Dividing both sides by 2, we find:

x = 2

Now, we substitute this value back into one of the equations to find the corresponding y-value:

y = 2 + 2
y = 4

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