Extra Credit: Non-Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two variables where the ratio of the 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, 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 is found by setting x to 0 in the equation and solving for y. It represents the point where the line crosses the y-axis.

Front

What does the y-intercept represent in a real-world context?

Back

In a real-world context, the y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine the slope from an equation in standard form?

Back

To determine the slope from an equation in standard form (Ax + By = C), rearrange the equation into slope-intercept form (y = mx + b) and identify the coefficient of x.

Front

What is the significance of the slope in a linear relationship?

Back

The slope indicates the rate of change between the two variables; a positive slope means that as one variable increases, the other also increases, while a negative slope indicates an inverse relationship.

Front

How do you interpret a negative slope in a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is the formula for calculating the slope between two points?

Back

The formula for calculating the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.