Graphing & Distance Between Two Points

Front

What is the coordinate system used for graphing points?

Back

The Cartesian coordinate system, which consists of two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a graph, typically written as (x, y).

Front

How do you plot the point (3, 4)?

Back

Start at the origin (0, 0), move right 3 units along the x-axis, then move up 4 units along the y-axis.

Front

What does the point (0, 0) represent?

Back

The origin, where the x-axis and y-axis intersect.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of negative coordinates?

Back

Negative coordinates indicate a position to the left of the y-axis or below the x-axis.

Front

How do you identify the quadrant of a point (x, y)?

Back

Quadrants are determined by the signs of x and y: 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

What is the x-coordinate in the point (-5, 3)?

Back

-5.

Front

What is the y-coordinate in the point (2, -4)?

Back

-4.

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).