Points on Coordinate Grid

Front

What are the coordinates of a point in a coordinate grid?

Back

A point is represented by an ordered pair (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

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

Back

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

Front

How many quadrants are there in a standard coordinate plane?

Back

There are 4 quadrants in a standard coordinate plane.

Front

In which quadrant is the point (3, -2) located?

Back

The point (3, -2) is located in Quadrant IV.

Front

What are the coordinates of the origin in a coordinate grid?

Back

The coordinates of the origin are (0, 0).

Front

What is the significance of the x-axis and y-axis in a coordinate plane?

Back

The x-axis is the horizontal line, and the y-axis is the vertical line that intersect at the origin, dividing the plane into four quadrants.

Front

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

Back

A point with negative x and positive y coordinates is located in Quadrant II.

Front

What is the relationship between the coordinates of a point and its location in the quadrants?

Back

The signs of the coordinates determine the quadrant: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), Quadrant IV (positive, negative).

Front

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

Back

The midpoint is found using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

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