Question

which graph shows a point at the origin?

Explanation:

Step1: Recall the origin's coordinates

The origin in a coordinate plane has coordinates \((0, 0)\), meaning the \(x\)-value and \(y\)-value are both \(0\).

Step2: Analyze each graph

• Top - left graph: The point is at \((3, 0)\) (x = 3, y = 0) – not the origin.
• Top - right graph: The point is at \((0, 0)\) (x = 0, y = 0) – this matches the origin's coordinates.
• Bottom - left graph: The point is at \((0, 2)\) (x = 0, y = 2) – not the origin.
• Bottom - right graph: The point is at \((4, 4)\) (x = 4, y = 4) – not the origin.

Answer:

The top - right graph (with the point at the intersection of the x - axis and y - axis, where both x and y are 0).