Slope and proportional relationships

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope of the line is 3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

If a line passes through the origin and has a slope of 4, what is its equation?

Back

The equation of the line is y = 4x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

The slope is 2.