Plotting Points and Graphing Lines

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What are the coordinates of the origin in a coordinate plane?

Back

(0, 0)

Front

What does the ordered pair (x, y) represent?

Back

The ordered pair (x, y) represents a point on the coordinate plane, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Front

How do you identify the x-coordinate and y-coordinate in an ordered pair?

Back

In an ordered pair (x, y), 'x' is the first number and represents the horizontal position, while 'y' is the second number and represents the vertical position.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, resulting in a downward slant from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, where there is no vertical change as the x-coordinate changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where there is no horizontal change as the x-coordinate remains constant.