Let's first analyze the given linear equation \( y = x + 2 \). This equation describes a straight line in the Cartesian plane.
The equation can be rearranged to the standard form for easier understanding:
\[
- x + y - 2 = 0 \]
To plot this line, we can find two points.
-
Set \( x = 0 \): \[ y = 0 + 2 = 2 \quad \text{(Point: \( (0, 2) \))} \]
-
Set \( x = 2 \): \[ y = 2 + 2 = 4 \quad \text{(Point: \( (2, 4) \))} \]
Now that we have a couple of points, we can draw the line.
If you have an ordered pair (x, y) that you would like to check against this line, please provide it, and we can determine whether it lies on the line or not.
1 answer