Coordinate Plane and Slope of a Line

Front

What is the coordinate plane?

Back

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 are the x-axis and y-axis?

Back

The x-axis is the horizontal line in a coordinate plane, while the y-axis is the vertical line. They intersect at the origin (0, 0).

Front

What are the coordinates of a point?

Back

Coordinates are a pair of numbers (x, y) that define the position of a point in the coordinate plane, where 'x' represents the horizontal position and 'y' represents the vertical position.

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

What are the four quadrants of a coordinate plane?

Back

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 determine the quadrant of a point?

Back

To determine the quadrant, check the signs of the x and y coordinates: both positive in Quadrant I, x negative and y positive in Quadrant II, both negative in Quadrant III, and x positive and y negative in Quadrant IV.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, resulting in a downward trend.