Slope Types and from a Graph Flashcard

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What is a zero slope?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a slope of -5/4 represent?

Back

A slope of -5/4 indicates that for every 4 units moved to the right (positive x-direction), the line moves down 5 units (negative y-direction).

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

If a line has a positive slope, what can you say about its direction?

Back

If a line has a positive slope, it rises from left to right.

Front

If a line has a negative slope, what can you say about its direction?

Back

If a line has a negative slope, it falls from left to right.