Estimate the intersection point of the graphs of the linear equations in variables.

Question

y = x +2

y = -x + 6

Answer 1

To find the intersection point of the two linear equations, you can set them equal to each other and solve for x:

x + 2 = -x + 6

Add x to both sides:
2x + 2 = 6

Subtract 2 from both sides:
2x = 4

Divide by 2:
x = 2

Now that we have the x-coordinate of the intersection point, we can substitute it back into one of the equations to find the y-coordinate:

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

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