Linear, Nonlinear, Slope Review (TCAP 8)

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change between the two variables in the equation.

Front

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

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, the value of y when x is 0.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is a linear relationship?

Back

A linear relationship is one where the change in one variable is proportional to the change in another variable, represented by a straight line on a graph.

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is one where the change in one variable does not produce a constant change in another variable, represented by a curve on a graph.

Front

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

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.