Proportional Relationships - Slope Flashcard (20)

Front

What is a proportional relationship?

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change between the two variables in a linear relationship.

Front

How can you determine if a table of values represents a proportional relationship?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in the equation y=mx+b?

Back

The y-intercept (b) represents the value of y when x is zero.

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the graph passes through the origin (0,0), indicating that when one variable is zero, the other is also zero.

Front

What is the relationship between the slope and the steepness of a line?

Back

The slope indicates the steepness of a line; a larger slope value means a steeper line.

Front

How do you identify the x-intercept from a linear equation?

Back

The x-intercept is found by setting y to zero and solving for x in the equation.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

A proportional relationship has a constant ratio, while a non-proportional relationship does not maintain a constant ratio.

Front

What does it mean for two variables to be directly proportional?

Back

Two variables are directly proportional if an increase in one variable results in a proportional increase in the other variable.