Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (4.5, 7)

Verified step by step guidance

1. Start by understanding the coordinate system: the horizontal axis is the x-axis and the vertical axis is the y-axis.
2. Locate the x-coordinate of the point, which is 4.5. Move 4.5 units to the right from the origin (0,0) along the x-axis because it is positive.
3. Next, locate the y-coordinate of the point, which is 7. From the position at x = 4.5, move 7 units upward along the y-axis because it is positive.
4. Mark the point where these two movements intersect on the coordinate plane. This is the point (4.5, 7).
5. Determine the quadrant: since both x and y are positive, the point lies in Quadrant I.

Key Concepts

Coordinate Plane and Axes

The coordinate plane consists of two perpendicular lines called axes: the x-axis (horizontal) and the y-axis (vertical). Points are represented as ordered pairs (x, y), where x indicates the horizontal position and y indicates the vertical position relative to the origin (0,0).

Plotting Points

To plot a point like (4.5, 7), start at the origin, move 4.5 units along the x-axis, then move 7 units parallel to the y-axis. This locates the exact position of the point on the coordinate plane.

Quadrants of the Coordinate Plane

The coordinate plane is divided into four quadrants based on the signs of x and y values: Quadrant I (+, +), Quadrant II (-, +), Quadrant III (-, -), and Quadrant IV (+, -). Identifying the quadrant helps understand the point's location relative to the axes.