Slope Review

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?

Back

A positive slope indicates that the line rises as you move from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line falls as you move 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

If a line has a slope of 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Front

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

Back

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

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts.

Front

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

Back

A steeper slope has a larger absolute value, while a gentler slope has a smaller absolute value.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

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