Slope Formula

Front

What is the slope formula?

Back

The slope formula is given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

How do you find the slope from a graph?

Back

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

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 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change and the rise/run formula cannot be applied.

Front

How do you calculate the slope between two points?

Back

To calculate the slope between two points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the same as the slope, representing how much the dependent variable changes for a unit change in the independent variable.

Front

How can you interpret the slope in a real-world context?

Back

In a real-world context, the slope can represent rates such as speed, cost per item, or growth rate, indicating how one quantity changes in relation to another.

Front

What is the significance of the slope in a linear equation?

Back

The slope in a linear equation indicates the steepness and direction of the line, affecting how the dependent variable changes with respect to the independent variable.