estimate the intersection point of the graphs of the following linear equations in two varibles y=x+2 y=-x+6
To find the intersection point of the two graphs, we need to solve the system of equations:
y = x + 2
y = -x + 6
By setting the two equations equal to each other, we get:
x + 2 = -x + 6
Adding x to both sides and subtracting 2 from both sides:
2x = 4
x = 2
Now that we have found the x-coordinate of the intersection point, we can substitute this value back into either of the original equations to find the y-coordinate. Let's use the first equation:
y = x + 2
y = 2 + 2
y = 4
Therefore, the intersection point of the two graphs is (2, 4).