Question

coordinate grid with a red dot, and options: (-1,3), 3, (3,-1)

Explanation:

Step1: Analyze the coordinate of the point

To determine the coordinates of a point on a coordinate plane, we look at the horizontal (x - axis) and vertical (y - axis) distances from the origin \((0,0)\). For the given point:

• Moving along the x - axis: The point is 1 unit to the left of the origin. In the coordinate system, moving left from the origin gives a negative x - value. So, the x - coordinate is \(- 1\).
• Moving along the y - axis: The point is 3 units above the origin. Moving up from the origin gives a positive y - value. So, the y - coordinate is \(3\).

So the coordinates of the point are \((-1,3)\). The option \(3\) is just a number, not a coordinate. The option \((3,-1)\) has an x - coordinate of \(3\) (which would be 3 units to the right of the origin) and a y - coordinate of \(-1\) (1 unit below the origin), which does not match the position of the point in the graph.

Answer:

\(\boldsymbol{(-1,3)}\) (the checkbox next to \((-1,3)\) should be selected)