Proportional Relationship and slope

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

How do you find 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 is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If y = 4x, what is the unit rate?

Back

The unit rate is 4, meaning for every 1 unit of x, y increases by 4.

Front

Which of the following equations is proportional: y = 2x + 3 or y = 5x?

Back

y = 5x is proportional because it can be written in the form y = kx.

Front

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

Back

The slope is -3.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

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

Back

The slope is 2.