Question

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

Explanation:

Step1: Determine the x - coordinate

Point \( C \) lies on the x - axis. Looking at the grid, the x - coordinate of point \( C \) is between \( 4 \) and \( 5 \). Since it is closer to \( 4.5 \)? Wait, no. Wait, the grid lines: from the origin \( (0,0) \), moving along the x - axis, each grid line is 1 unit. The point \( C \) is at \( x = 4.5 \)? Wait, no, let's check the position. The x - axis: the points are at \( x=-5,-4,-3,-2,-1,0,1,2,3,4,5 \). The point \( C \) is halfway between \( 4 \) and \( 5 \)? Wait, no, looking at the graph, the point \( C \) is at \( x = 4.5 \)? Wait, no, the grid: each square is 1 unit. So the x - coordinate of \( C \) is \( 4.5 \)? Wait, no, let's see: the x - axis, the point is between \( 4 \) and \( 5 \), and since it's a single point, let's count the units. From \( x = 0 \), moving right, at \( x = 4.5 \)? Wait, no, the y - coordinate of point \( C \) is \( 0 \) because it's on the x - axis. So we need to find the x - coordinate. Looking at the graph, the point \( C \) is at \( x = 4.5 \)? Wait, no, the grid lines: the x - axis has marks at \( 4 \) and \( 5 \), and the point \( C \) is halfway between them? Wait, no, maybe I misread. Wait, the graph: the x - axis, the point \( C \) is at \( x = 4.5 \)? Wait, no, let's check again. The x - coordinate: the distance from \( x = 4 \) to \( x = 5 \) is 1 unit. The point \( C \) is at \( x = 4.5 \) (since it's in the middle) and \( y = 0 \) (because it's on the x - axis). So the coordinates of \( C \) are \( (4.5,0) \).

Step2: Determine the y - coordinate

Since point \( C \) lies on the x - axis, the y - coordinate of any point on the x - axis is \( 0 \). So the y - coordinate of \( C \) is \( 0 \).

Answer:

\((4.5, 0)\)