HW#3.2 Proportional Graphs

Front

What is a proportional graph?

Back

A proportional graph is a graph that represents a relationship where the ratio between two variables remains constant, resulting in a straight line that passes through the origin.

Front

What are the characteristics of a proportional graph?

Back

1. The graph is a straight line. 2. The line passes through the origin (0,0).

Front

How do you determine if a graph is proportional?

Back

Check if the graph is a straight line and if it passes through the origin.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is the formula for the slope of a line?

Back

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

Front

What does the equation y = mx represent?

Back

The equation y = mx represents a proportional relationship where y is directly proportional to x, and m is the constant of proportionality (slope).

Front

What is the slope of the line represented by the points (1,2) and (3,6)?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Back

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant because it indicates that when x is 0, y is also 0, which is a key characteristic of proportional relationships.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin or is not a straight line.