Graphing on the Coordinate Plane

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What does the first number in an ordered pair represent?

Back

The first number in an ordered pair represents the x-coordinate, indicating the horizontal position of a point on the coordinate plane.

Front

What does the second number in an ordered pair represent?

Back

The second number in an ordered pair represents the y-coordinate, indicating the vertical position of a point on the coordinate plane.

Front

How do you plot the point (4, -6) on the coordinate plane?

Back

To plot the point (4, -6), move 4 units to the right along the x-axis and then 6 units down along the y-axis.

Front

What is the significance of the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other points on the coordinate plane.

Front

How do you identify the quadrant of a point with positive x and negative y coordinates?

Back

A point with positive x and negative y coordinates is located in Quadrant IV of the coordinate plane.

Front

What are the coordinates of the point located at the intersection of the x-axis and y-axis?

Back

The coordinates of the point located at the intersection of the x-axis and y-axis are (0, 0), known as the origin.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

The distance between the points (1, 2) and (4, 6) can be calculated using the distance formula: √((4-1)² + (6-2)²) = √(9 + 16) = √25 = 5.

Front

What is the slope of a line that passes through the points (2, 3) and (5, 7)?

Back

The slope of a line is calculated as (y2 - y1) / (x2 - x1). For the points (2, 3) and (5, 7), the slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

How do you determine the coordinates of a point given its location in relation to the axes?

Back

To determine the coordinates of a point, identify how far it is from the x-axis (y-coordinate) and how far it is from the y-axis (x-coordinate).