1.1,& 1.2 SYSTEMS OF EQUATIONS LINEAR AND QUADRATICS

Front

What is a system of linear equations?

Back

Consists of two or more linear equations with the same variables.

Front

How many solutions can a system of linear equations have?

Back

A system can have one solution, no solutions, or infinitely many solutions.

Front

What does it mean if two lines intersect on a graph?

Back

It means the system of equations has one solution.

Front

What does it mean if two lines are parallel on a graph?

Back

It means the system of equations has no solutions.

Front

What does it mean if two lines overlap on a graph?

Back

It means the system of equations has infinitely many solutions.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the lines are the same, every point on the line is a solution.