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 a line.

Front

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

Back

The slope represents the rate of change between two variables. For example, in a graph showing distance over time, the slope indicates speed.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change while the y-value changes.

Front

Given the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

Given the points (4, 5) and (4, 9), what is the slope?

Back

The slope is undefined, as both points have the same x-coordinate.

Front

How do you find the average rate of change from a table?

Back

Calculate the change in y divided by the change in x between two points.

Front

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

Back

For every 4 units increase in x, y decreases by 1 unit.