Front

What is the Criteria for a System with No Solution?

Back

Same Slope, Different y-Intercepts

Front

The solution to a system of equations is the place at which the lines ___________.

Back

intersect.

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

If a system of equations have two lines that overlap, meaning that they share all points, how many solutions does the system have?

Back

Infinite Number of Solutions

Front

What is the Criteria for a System with Infinite Solutions?

Back

Same Slope, Same y-Intercepts

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have the same slope but different y-intercepts, indicating no solutions.

Front

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

Back

Two lines that intersect at a single point.

Front

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

Back

If the equations have the same slope but different y-intercepts.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

What does it mean for a system of equations to have infinite solutions?

Back

The equations represent the same line, sharing all points.