Semester Exam Review

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of the line.

Front

How do you find the slope of a linear function from a graph?

Back

The slope of a linear function can be found by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula: slope = rise/run.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What is a zero of a function?

Back

A zero of a function is the value of the independent variable that makes the function equal to zero, often represented as the x-coordinate of the point where the graph intersects the x-axis.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the graphs of the equations are parallel lines, meaning they never intersect.

Front

How do you determine the y-intercept from a linear equation in slope-intercept form?

Back

Front

What is the formula for the slope of a line given two points?

Back

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, while a negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the standard form of a linear equation?

Back

Front

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

Back

A linear function can be identified from a table of values if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.