Horizontal and vertical lines - Variation Theory - Free Printable

Let me carefully examine the image to understand what the task is asking.

The image shows 9 coordinate grids, each with a line drawn and an equation labeled above or beside it (like $x = -3$, $y = 3$, etc.). Next to each grid is the text "True / False", suggesting the student needs to determine whether the drawn line matches the given equation.

So for each of the 9 cases, I need to check:
- If the equation is of the form $x = a$, it should be a vertical line passing through $x = a$.
- If the equation is of the form $y = b$, it should be a horizontal line passing through $y = b$.

Let me go through each one:

1. Top-left: Equation $x = -3$, line is vertical at $x = -3$ → True
2. Top-middle: Equation $y = 3$, but line is vertical at $x = 3$ → False
3. Top-right: Equation $y = -1$, line is horizontal at $y = -1$ → True
4. Middle-left: Equation $x = -3$, but line is horizontal at $y = -3$ → False
5. Middle-center: Equation $x = 0$, line is vertical at $x = 0$ (y-axis) → True
6. Middle-right: Equation $x = 0$, but line is horizontal at $y = 0$ (x-axis) → False
7. Bottom-left: Equation $y = 3$, line is horizontal at $y = 3$ → True
8. Bottom-middle: Equation $y = -1$, but line is vertical at $x = -1$ → False
9. Bottom-right: Equation $x = 0$, line is vertical at $x = 0$ → True

Wait — let me double-check each one more carefully by zooming in on key areas to confirm coordinates.