Identifying types of slopes and endpoints

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

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

Front

How do you identify the slope of a line from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).

Front

What are endpoints in a line segment?

Back

Endpoints are the two points that define the start and end of a line segment.

Front

Given the points M = (-7,1) and N = (3,4), what is the slope of the line segment MN?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (4 - 1) / (3 - (-7)) = 3 / 10.

Front

What does it mean if a line has a slope of zero?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in vertical lines where the x-coordinate does not change, leading to division by zero in the slope formula.

Front

How can you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Identify the endpoints of the line segment represented by the coordinates (2,3) and (5,7).

Back

The endpoints are (2,3) and (5,7).