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

Question

y=x+2
y=-x+6

Answer 1

To find the intersection point of the two linear equations, we can set them equal to each other and solve for the variables.

Setting the equations equal, we have:
x + 2 = -x + 6

Combining like terms, we get:
2x + 2 = 6

Subtracting 2 from both sides, we have:
2x = 4

Dividing both sides by 2, we get:
x = 2

Plugging the value of x back into either equation, we can find the value of y:
y = 2 + 2
y = 4

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