Coordinate plane review

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you identify the coordinates of a point?

Back

The coordinates of a point are identified as (x, y), where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction. For example, | -5 | = 5.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0).

Front

How do you determine which quadrant a point is in?

Back

To determine the quadrant of a point (x, y), check the signs of x and y: both positive (Quadrant I), x negative and y positive (Quadrant II), both negative (Quadrant III), x positive and y negative (Quadrant IV).

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance formula is: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the coordinates (0, y).

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where a line crosses the x-axis, represented by the coordinates (x, 0).

Front

How do you plot a point on a coordinate plane?

Back

To plot a point (x, y), start at the origin (0, 0), move 'x' units along the x-axis, and then 'y' units up or down along the y-axis.