Chapter 4 review-Linear Functions (edited)

Front

What is the definition of a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the slope of the line passing through the points (10, 1) and (5, 2)?

Back

Front

What is the y-intercept of a linear function?

Back

Front

What is the equation of a line in slope-intercept form?

Back

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function has a variable rate of change and graphs as a curve.

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if there are two or more outputs (y-values) for a single input (x-value). This violates the definition of a function.

Front

How do you write the equation of a line given its slope and a point?

Back

Front

What is the point-slope form of a linear equation?

Back