Explore Proportional and Linear Relationships

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 does it mean for a graph to start at the origin?

Back

A graph starts at the origin (0,0) when the value of both variables is zero at that point.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph.

Front

What is the slope of a line?

Back

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

Front

What does the term 'y-intercept' refer to?

Back

The y-intercept is the point where a line crosses the y-axis, indicating the value of y when x is zero.

Front

If a graph is not proportional, what does that imply?

Back

If a graph is not proportional, it means that the ratio between the two quantities is not constant.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing the value of y by the value of x for any point on the line.