Question

graph the point (2.5, 1) on the coordinate plane.

Explanation:

Step1: Identify x - coordinate

The x - coordinate of the point \((2.5,1)\) is \(2.5\). On the x - axis, we move \(2.5\) units to the right of the origin (\(x = 0\)). Since each grid line on the x - axis (from \(0\) to \(2\) to \(4\)) represents an interval of \(2\) units, the mid - point between \(x = 2\) and \(x = 3\) (but since the grid has lines at \(0,2,4\) etc., we can think of \(2.5\) as halfway between \(2\) and \(3\) (even though \(3\) is not marked, we can estimate the position).

Step2: Identify y - coordinate

The y - coordinate of the point \((2.5,1)\) is \(1\). On the y - axis, we move \(1\) unit up from the origin (\(y = 0\)). The horizontal line corresponding to \(y = 1\) is halfway between \(y = 0\) and \(y = 2\).

Step3: Plot the point

We find the position on the coordinate plane where the x - coordinate is \(2.5\) (halfway between \(x = 2\) and \(x = 3\)) and the y - coordinate is \(1\) (halfway between \(y = 0\) and \(y = 2\)) and mark that point.

(Note: Since this is a graphing task, the final answer is the plotted point at \((2.5,1)\) on the coordinate plane. In terms of the description, the point is located \(2.5\) units to the right of the y - axis and \(1\) unit above the x - axis.)

Answer:

The point \((2.5,1)\) is plotted by moving \(2.5\) units along the positive x - axis and \(1\) unit along the positive y - axis from the origin \((0,0)\) on the coordinate plane.