Proportional Graphs

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 quantity is constant.

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 forms a straight line.

Front

What does the slope of a proportional graph represent?

Back

The slope of a proportional graph represents the constant ratio between the two quantities.

Front

If x = 2 and y = 2 in a proportional graph, what can you infer about the relationship?

Back

The relationship is proportional, as the ratio of y to x (y/x) is constant (1 in this case).

Front

What is the formula for finding the slope of a line in a graph?

Back

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

Front

How do you interpret the y-intercept in a proportional graph?

Back

In a proportional graph, the y-intercept is always 0, indicating that when x is 0, y is also 0.

Front

What is the significance of the x-axis and y-axis in a proportional graph?

Back

The x-axis typically represents the independent variable, while the y-axis represents the dependent variable in a proportional relationship.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you find the value of y when given a specific value of x in a proportional graph?

Back

You can find the value of y by using the constant ratio (slope) and multiplying it by the given value of x.

Front

What is an example of a real-world proportional relationship?

Back

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