6.11A Graphig Points in All Four Quadrants

Front

What are the four quadrants in a coordinate plane?

Back

The four quadrants are: 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

How do you plot a point in the first quadrant?

Back

To plot a point in the first quadrant, both x and y coordinates are positive. For example, the point (3, 2) is plotted 3 units right and 2 units up from the origin.

Front

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

Back

The x-coordinate represents the horizontal position of the point on the coordinate plane.

Front

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

Back

The y-coordinate represents the vertical position of the point on the coordinate plane.

Front

What is the origin in a coordinate plane?

Back

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

Front

How do you identify the coordinates of a point?

Back

The coordinates of a point are identified as (x, y), where x is the horizontal distance from the origin and y is the vertical distance from the origin.

Front

What is the significance of the signs of coordinates in different quadrants?

Back

The signs of coordinates indicate the quadrant in which the point is located: positive x and y in the 1st, negative x and positive y in the 2nd, negative x and y in the 3rd, and positive x and negative y in the 4th.

Front

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

Back

To plot (-4, 3), move 4 units left (negative x) and 3 units up (positive y) from the origin.

Front

What is the distance from the origin to the point (5, -2)?

Back

The distance is calculated using the Pythagorean theorem: √(5^2 + (-2)^2) = √(25 + 4) = √29.

Front

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

Back

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