Slope of Proportional Graphs

Front

What does the point (4, 2) represent in a proportional graph context?

Back

It means that 4 cookies were purchased for $2.

Front

What is the rate of change in a proportional relationship?

Back

The rate of change is the constant ratio between the two quantities, often represented as 'k' in the equation y = kx.

Front

True/False: The point (1, 0.5) indicates mixing 0.5 quart of green paint with 1 quart of red paint.

Back

False, it indicates mixing 0.5 quart of red paint with 1 quart of green paint.

Front

How can you find the rate of change in a proportional graph?

Back

You can find the rate of change by calculating the change in y over the change in x (Δy/Δx) or by identifying the slope of the line.

Front

What does a slope of 25 words per minute indicate in a graph?

Back

It indicates that for every minute, 25 words are written.

Front

What is the significance of the slope in a proportional graph?

Back

The slope represents the constant rate of change between the two variables.

Front

True/False: In a proportional relationship, the graph will always pass through the origin (0,0).

Back

True, because proportional relationships have a constant ratio that starts at the origin.

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a point on a proportional graph represent?

Back

It represents a specific relationship between the two quantities being measured.

Front

True/False: A proportional graph can have a negative slope.

Back

False, a proportional graph has a positive slope, indicating a direct relationship.