Question

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

x + 2 = -x + 6

Now, we can solve for x:

2x = 4
x = 2

Now that we have found x = 2, we can substitute this back into one of the original equations to find y:

y = x + 2
y = 2 + 2
y = 4

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