Question

what are the coordinates of point w? write your answer as an integer or decimal to the nearest 0.5.

Explanation:

Step1: Determine the x - coordinate

To find the x - coordinate of point \(W\), we look at the horizontal axis (x - axis). Each grid line represents an integer value. Point \(W\) is located at \(x=- 4\) because it is 4 units to the left of the origin (\(x = 0\)) on the x - axis.

Step2: Determine the y - coordinate

To find the y - coordinate of point \(W\), we look at the vertical axis (y - axis). The point \(W\) is between \(y = 2\) and \(y=3\), and it is halfway between them? Wait, no, looking at the grid, the y - coordinate of \(W\) is 2.5? Wait, no, let's check again. The y - axis has values. The point \(W\) is at a y - value of 2.5? Wait, no, the grid lines: from the graph, the y - coordinate of \(W\) is 2.5? Wait, no, let's see. The vertical lines: the distance between \(y = 2\) and \(y=3\) is 1 unit. The point \(W\) is halfway? Wait, no, looking at the graph, the coordinates of \(W\) are \((-4,2.5)\)? Wait, no, let's re - examine. The x - coordinate: the point is directly above \(x=-4\) (since it's on the vertical line through \(x = - 4\)). The y - coordinate: the point is halfway between \(y = 2\) and \(y = 3\), so \(y=2.5\). Wait, no, maybe I made a mistake. Wait, the grid: each square is 1 unit. The point \(W\) is at \(x=-4\) and \(y = 2.5\)? Wait, no, looking at the graph, the y - coordinate of \(W\) is 2.5? Wait, no, let's check the position. The x - coordinate is \(-4\) (since it's 4 units left of the origin). The y - coordinate: the point is between \(y = 2\) and \(y = 3\), and it's at the mid - point? So \(y = 2.5\). Wait, but maybe it's 2.5? Wait, no, let's see the graph again. The green dot for \(W\) is at \(x=-4\) and \(y = 2.5\)? Wait, no, maybe it's 2.5. Wait, the problem says "to the nearest 0.5". So the x - coordinate is \(-4\) (an integer) and the y - coordinate is 2.5 (to the nearest 0.5).

Answer:

\((-4, 2.5)\)