Graphing Systems of Equations

Front

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

Back

The two lines are the same line.

Front

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

Back

The two lines are parallel.

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = 2x - 3?

Back

No solution.

Front

What is the solution to the system of equations represented by the lines y = x + 2 and y = x + 2?

Back

Infinitely many solutions.

Front

If Lesly graphed the lines y = 2x + 4 and y = -x - 2, what is the solution to the system?

Back

(2, 8)

Front

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

Back

Two intersecting lines.

Front

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

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

3.

Front

What does the y-intercept represent in a linear equation?

Back

The point where the line crosses the y-axis.

Front

If two lines have the same slope but different y-intercepts, what can be said about their solutions?

Back

They are parallel and have no solutions.