Modeling Linear Functions

Front

What is a line of best fit used for?

Back

To make predictions.

Front

What does the slope of a linear function represent?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The value of y when x is 0, representing the starting point of the function.

Front

What does the equation of a line in slope-intercept form look like?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What does the term 'correlation' mean in statistics?

Back

A correlation shows that two variables are related.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

In the equation y = 10 + 3x, what does the '3' represent?

Back

The per-visit fee Rich pays to the gym.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal and does not change in the y-direction.