Topic 3: Linear Functions (enVision Algebra 1)

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the linear equation y = mx + b.

Front

Define positive association in a scatter plot.

Back

Positive association in a scatter plot means that as one variable increases, the other variable also tends to increase, resulting in a pattern that slopes upwards.

Front

Define negative association in a scatter plot.

Back

Negative association in a scatter plot means that as one variable increases, the other variable tends to decrease, resulting in a pattern that slopes downwards.

Front

What is a correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1.

Front

What does a correlation coefficient of 0.99 indicate?

Back

A correlation coefficient of 0.99 indicates a very strong positive linear relationship between the two variables.

Front

What is a recursive formula?

Back

A recursive formula defines each term of a sequence using the previous term(s). It typically includes an initial condition.

Front

Write the recursive formula for the sequence: -5, -8.5, -12, -15.5, -19.

Back

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the data points.