Distance on the Coordinate Plane

What is the distance formula for two points (x1, y1) and (x2, y2) on the coordinate plane?

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

• Distance = |x2 - x1| + |y2 - y1|

• Distance = (x2 - x1) + (y2 - y1)

• Distance = √((x2 + x1)² + (y2 + y1)²)

What is the origin on the coordinate plane?

• The point (0, 0) where the x-axis and y-axis intersect.

• The point (1, 1) where the x-axis and y-axis intersect.

• The point (0, 1) where the x-axis and y-axis intersect.

• The point (1, 0) where the x-axis and y-axis intersect.

How do you find the distance between two points that have the same x-coordinate?

• Subtract the y-coordinates and take the absolute value.

• Add the x-coordinates and take the absolute value.

• Multiply the y-coordinates and take the absolute value.

• Find the average of the y-coordinates.

What does it mean for two points to be horizontally aligned on the coordinate plane?

• They have the same x-coordinate.

• They have the same y-coordinate.

• They are equidistant from the origin.

• They lie on the same vertical line.

How do you determine the distance between points (x1, y1) and (x2, y2) if they are diagonally aligned?

• Distance = |x2 - x1| + |y2 - y1|

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

• Distance = (x2 - x1)² + (y2 - y1)²

• Distance = √((x2 + x1)² + (y2 + y1)²)

What is the distance between the points (6, 8) and (6, 3)?

• 3 units

• 4 units

• 5 units

• 6 units

If you move 5 units east and 2 units north from the point (1, 1), where do you end up?

• (5, 3)

• (6, 3)

• (6, 2)

• (5, 2)

If point C is at (1, 1) and you move 3 units east and 2 units south, where do you arrive?

• (4, -1)

• (3, 0)

• (2, -1)

• (5, 1)

What is the distance between the points (0, 0) and (3, 4)?

• 3 units

• 4 units

• 5 units

• 6 units

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

• They are the horizontal and vertical lines that define the plane.

• They represent the distance from the origin to any point.

• They are used to measure angles in the coordinate system.

• They indicate the direction of movement in a graph.