Practice

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

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What is the formula to find the slope of a line?

Back

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

Front

Find the slope of the line that passes through (1, -19) and (-2, -7).

Back

The slope is -4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If the constant of proportionality is 1/2, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by half a unit.

Front

Find the slope of the line that passes through (3, 2) and (5, 6).

Back

The slope is 2.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables represented in the equation.