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 is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are 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, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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 a vertical line where there is no horizontal change, leading to division by zero in the slope formula.

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change), and use the slope formula.

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.