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

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, 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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope between two points (3, 4) and (7, 10)?

Back

Using the slope formula: m = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

If a line has a slope of -1/4, what does this mean in terms of rise and run?

Back

For every 4 units you move to the right (run), the line goes down 1 unit (rise).

Front

What is the average rate of change?

Back

The average rate of change is the slope of the line connecting two points on a graph, calculated as (change in y) / (change in x).

Front

Given the points (2, 3) and (5, 7), what is the slope?

Back

m = (7 - 3) / (5 - 2) = 4 / 3.

Front

What does a slope of 0 mean in a real-world context?

Back

A slope of 0 means there is no change in the dependent variable as the independent variable changes, indicating a constant value.