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

검증된 단계별 안내

Start by understanding the coordinate system: the horizontal axis is the x-axis and the vertical axis is the y-axis.

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.

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.

Mark the point where these two movements intersect on the coordinate plane. This is the point (4.5, 7).

Determine the quadrant: since both x and y are positive, the point lies in Quadrant I.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.