Estimate the intersection point of the graphs following linear equations in two variables
y=x+2
y=-x+6
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).