Linear or NonLinear

Front

What is a linear equation?

Back

An equation that can be written in the form y = mx + b, where m and b are constants.

Front

What is a nonlinear equation?

Back

An equation that cannot be written in the form y = mx + b, often involving exponents, roots, or products of variables.

Front

How can you identify a linear function from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Front

What is the slope of a linear function?

Back

The slope (m) represents the rate of change of y with respect to x in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function with a slope of zero is a horizontal line, indicating that y does not change as x changes.

Front

What is the general form of a linear equation in two variables?

Back

Ax + By + C = 0, where A, B, and C are constants.

Front

What is a characteristic of nonlinear functions?

Back

Nonlinear functions can have curves, bends, or changes in direction, unlike straight lines in linear functions.

Front

Give an example of a nonlinear equation.

Back

y = x^2 is a nonlinear equation because it involves a variable raised to a power.

Front

What is a linear function's graph shape?

Back

The graph of a linear function is a straight line.