Question

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

Explanation:

Step1: Determine x - coordinate of R

To find the x - coordinate, we look at the horizontal position of point R on the coordinate plane. The grid lines are at integer values of x. Point R is halfway between x = 0 and x = 1 (since it's in the middle of the square from (0, y) to (1, y)). So the x - coordinate is 0.5 (because the distance from 0 to 1 is 1, and halfway is 0.5).

Step2: Determine y - coordinate of R

For the y - coordinate, we look at the vertical position. Point R is halfway between y=-5 and y = - 4.5? Wait, no. Wait, the vertical grid lines: the bottommost visible line near R is y=-5, and the next line up is y=-4. Wait, no, let's check the graph again. The point R is below the x - axis (y < 0). Looking at the vertical axis, the distance between y=-5 and y=-4.5? Wait, no, the grid lines: each square has a side length such that from y = - 5 to y=-4 is 1 unit. Wait, the point R is at a position where the y - coordinate is - 4.5? Wait, no, let's see: the point R is between y=-5 and y=-4, but more precisely, looking at the graph, the blue dot R is halfway between y=-5 and y=-4.5? Wait, no, the vertical distance from y=-5 to y=-4 is 1 unit. The point R is at y=-4.5? Wait, no, let's count the grid lines. Wait, the y - axis: the labels are 5,4,3,2,1,0,-1,-2,-3,-4,-5. So the distance between each integer y - value is 1 unit. Point R is halfway between y=-5 and y=-4? Wait, no, the blue dot R is at a position where x is 0.5 (between 0 and 1) and y is - 4.5? Wait, no, looking at the graph, the point R is below the x - axis, and its y - coordinate: let's see, the vertical line for y=-4.5? Wait, no, the grid squares: each square has a side length of 1 unit in both x and y. So if we look at the vertical position, the point R is at y=-4.5? Wait, no, let's re - examine. The point R is located such that its x - coordinate is 0.5 (midway between x = 0 and x = 1) and its y - coordinate is - 4.5? Wait, no, the distance from y=-5 to y=-4 is 1 unit. The point R is halfway between y=-5 and y=-4? Wait, no, the blue dot is closer to y=-4.5? Wait, no, let's check the graph again. The correct way: in a coordinate plane, to find the coordinates of a point, we move horizontally (for x) and vertically (for y). For point R:

• Horizontal (x - axis): between x = 0 and x = 1, so x = 0.5 (since it's in the middle of the square with vertices (0, y), (1, y), (0, y - 1), (1, y - 1)).
• Vertical (y - axis): between y=-5 and y=-4, but actually, looking at the graph, the point R is at y=-4.5? Wait, no, the vertical position: the distance from y=-5 to y=-4 is 1 unit. The point R is at y=-4.5 (because it's halfway between y=-5 and y=-4). Wait, no, if we consider that the grid lines are at integer values, then the mid - point between y=-5 and y=-4 is y=-4.5. And the x - coordinate is 0.5 (mid - point between x = 0 and x = 1).

Answer:

(0.5, - 4.5)