Slope from Graphs

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), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the change in y (rise) and the change in x (run), and use the slope formula.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Front

What is the relationship between slope and linear equations?

Back

In a linear equation of the form y = mx + b, m represents the slope of the line.

Front

How do you identify a zero slope on a graph?

Back

A zero slope is identified on a graph as a horizontal line, where there is no change in y as x changes.

Front

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

Back

An undefined slope means the line is vertical, and there is no change in x as y changes.