A1-U4.1b Lesson Check: Solve Systems by Graphing (Special Cases)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

Two lines that intersect at a single point.

Front

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

Back

The lines representing the equations are the same line, overlapping each other.

Front

How can you determine if two lines are parallel?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point(s) where the lines intersect.

Front

What does it indicate if two lines have different slopes?

Back

They will intersect at exactly one point, indicating one solution.

Front

What is the solution to the system: y = 2x + 3 and y = 2x - 1?

Back

No solution, as the lines are parallel.