Integers and Graphing Review

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

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 graph.

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 graph.

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to (-x, y).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate to (x, -y).

Front

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

Back

The distance is calculated using the formula: √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for a point to be 'furthest to the left' on a number line?

Back

It means the point has the smallest value, which is represented by the most negative integer.

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 plot a point on a coordinate plane?

Back

To plot a point (x, y), start at the origin, move x units along the x-axis, and then y units up or down along the y-axis.

Front

What is the relationship between Point B and Point D if they are reflections across the x-axis?

Back

If Point B and Point D are reflections across the x-axis, their x-coordinates are the same, but their y-coordinates have opposite signs.