Linear Functions Unit Review

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations represented by the point (1,3)?

Back

The solution is (1,3).

Front

When graphing an inequality, which symbols indicate the use of a solid line?

Back

The symbols ≤ and ≥ indicate the use of a solid line.

Front

What does a result of 2 = -6 indicate when solving a system of equations using elimination?

Back

It indicates that the lines are parallel.

Front

Which inequality is represented by the graph if it shows a line with a solid line and shading above?

Back

The inequality is y ≥ -x + 1.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of a linear function?

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the difference between a solid line and a dashed line when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).