Pretest: Linear Systems

Front

What are the possible types of solutions for a linear system?

Back

One Solution, No Solution, Infinitely Many Solutions

Front

What do perpendicular lines have in terms of slopes?

Back

Slopes that are opposite reciprocals

Front

If a linear system has exactly one solution, what does that indicate about the lines?

Back

The lines intersect at one point.

Front

What does it mean if a linear system has no solution?

Back

The lines are parallel and will never intersect.

Front

What does it mean if a linear system has infinitely many solutions?

Back

The lines are the same line, overlapping each other.

Front

How can you determine the number of solutions in a linear system graphically?

Back

By analyzing the intersection points of the lines.

Front

What is the graphical representation of a system with one solution?

Back

Intersecting lines.

Front

What is the graphical representation of a system with no solutions?

Back

Parallel lines.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Coinciding lines.

Front

What is the slope of a line in the form y = mx + b?

Back

m represents the slope of the line.