Slope Formula

Front

What is the slope formula?

Back

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

Front

How do you find the slope of a line from a graph?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

What is the midpoint formula?

Back

The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2), which calculates the midpoint between two points (x1, y1) and (x2, y2).

Front

If a line has a slope of -1/4, what does this mean?

Back

A slope of -1/4 means that for every 4 units you move to the right (positive x direction), the line moves down 1 unit (negative y direction).

Front

How do you interpret the rate of change in a table?

Back

The rate of change in a table represents how much the dependent variable changes for a unit change in the independent variable, often expressed as a slope.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

How can you determine if a slope is steep or gentle?

Back

The steepness of a slope is determined by its absolute value; a larger absolute value indicates a steeper slope, while a smaller absolute value indicates a gentler slope.