Graphing Proportional 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 the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a graph, typically written as (x, y).

Front

What does the x-axis represent on a graph?

Back

The x-axis represents the horizontal line on a graph where the value of y is zero.

Front

What does the y-axis represent on a graph?

Back

The y-axis represents the vertical line on a graph where the value of x is zero.

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, choose two points on the line, find the rise (change in y) and run (change in x), and calculate the slope as rise/run.

Front

What is the meaning of a slope of 0?

Back

A slope of 0 means that the line is horizontal, indicating no change in y as x changes.

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.