SLOPE

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about the direction of a line on a graph?

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 the direction of a line on a graph?

Back

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

Front

If a line has a slope of 0, what does this mean about the line's orientation?

Back

A slope of 0 means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

If a line has an undefined slope, what does this indicate about the line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined rise over run.

Front

How do you determine if a slope is positive, negative, or zero from a graph?

Back

A slope is positive if the line rises from left to right, negative if it falls from left to right, and zero if it is horizontal.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

How can you find the slope of a line using its equation in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

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.