Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is zero slope?

Back

Zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What is undefined slope?

Back

Undefined slope occurs in vertical lines where there is no horizontal change, making the slope calculation impossible.

Front

How do you calculate slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What type of slope does a line that goes down from left to right have?

Back

A line that goes down from left to right has a negative slope.

Front

What type of slope does a line that goes up from left to right have?

Back

A line that goes up from left to right has a positive slope.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is zero.

Front

If a line is vertical, what is its slope?

Back

The slope of a vertical line is undefined.