Finding Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you calculate the slope between 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 a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning x does not change as y changes.

Front

Find the slope of the line given by the points (2, 3) and (6, 7).

Back

The slope is 1, calculated as (7 - 3) / (6 - 2).

Front

Find the slope of the line given by the points (1, 2) and (1, 5).

Back

The slope is undefined, as the x-coordinates are the same.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, which is the coefficient of x in the equation.

Front

How do you interpret a slope of 4 in a real-world context?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.