Non-Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a type of relationship between two variables where the ratio of the two variables is not constant. This means that as one variable changes, the other does not change at a constant rate.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept of a linear equation in the form y = mx + b is the value of y when x = 0. It is represented by the constant 'b' in the equation.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio of y to x is constant (y = kx). In non-proportional relationships, this ratio is not constant, and there is an additional constant term (y = mx + b, where b ≠ 0).

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if the line does not pass through the origin (0,0) or if it has a y-intercept that is not zero.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the point where the line crosses the y-axis, providing a starting value for the dependent variable when the independent variable is zero.