Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a 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 on the graph.

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 on the graph.

Front

What is zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where the x-value does not change, leading to a division by zero in the slope formula.

Front

How do you calculate slope from two points?

Back

Slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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.