Slope/Similar Triangles & Proportional Relationships

Front

What is the definition of 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 general form of the equation for a proportional relationship?

Back

The general form is y = kx, where k is the constant of proportionality.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0, represented as (0, b) in the equation y = mx + b.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship does not pass through the origin and has a y-intercept that is not zero.

Front

What is the significance of the constant 'k' in the equation y = kx?

Back

The constant 'k' represents the constant rate of change or the slope of the line in a proportional relationship.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What is an example of a proportional relationship in real life?

Back

An example is earning money at a constant hourly rate, such as $10 per hour.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.