Estimate the intersection point of the graphs 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 need to set the two equations equal to each other and solve for x:

x + 2 = -x + 6

Combining like terms, we get:

2x = 4

Dividing by 2 on both sides gives:

x = 2

Now that we have the x-coordinate, we can substitute this back into either of the original equations to find the y-coordinate. Let's substitute x = 2 into the first equation:

y = 2 + 2
y = 4

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