NC.8.SP.3 Interpreting Context for Line of Best Fit

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

In the equation y = mx + b, what does 'b' represent?

Back

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

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How do you interpret the y-intercept in a real-world context?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

In the equation y = 6.67x + 35, what does 6.67 represent?

Back

6.67 is the slope, indicating the cost per T-shirt after the setup fee.

Front

What does the equation y = 48 - 5x represent in a real-world scenario?

Back

It represents the amount of money left in Noah's lunch account after spending $5 per day.

Front

In the equation C = 5.5b + 88, what does the slope of 5.5 indicate?

Back

It indicates that for each additional carbohydrate, the calorie count increases by 5.5.

Front

What is the significance of the y-intercept in the equation M = 1754 - 550h?

Back

The y-intercept (1754) represents the distance from the destination before the plane departs.