cartesian Plane

Front

What is the Cartesian Plane?

Back

A two-dimensional coordinate system where each point is defined by a pair of numerical coordinates (x, y).

Front

What are the four quadrants of the Cartesian Plane?

Back

1st Quadrant (x > 0, y > 0), 2nd Quadrant (x < 0, y > 0), 3rd Quadrant (x < 0, y < 0), 4th Quadrant (x > 0, y < 0).

Front

What are the coordinates of the origin in the Cartesian Plane?

Back

(0, 0) is the origin.

Front

In which quadrant is the point (5, -2) located?

Back

4th Quadrant.

Front

In which quadrant is the point (-4, 3) located?

Back

2nd Quadrant.

Front

What does the x-coordinate represent in a point (x, y)?

Back

The horizontal position of the point on the Cartesian Plane.

Front

What does the y-coordinate represent in a point (x, y)?

Back

The vertical position of the point on the Cartesian Plane.

Front

What is the distance from the origin to the point (3, 4)?

Back

5 units, calculated using the Pythagorean theorem: √(3² + 4²) = 5.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 2.

Front

What is the equation of a horizontal line in the Cartesian Plane?

Back

y = b, where b is a constant.