9/28 Solve Systems by Graphing Practice

Front

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

Back

The two lines represented by the equations are the same line.

Front

How do you solve a system of linear equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the solution to the system of equations y = 6x - 4 and y = -x + 3?

Back

The solution is the point (1, 2).

Front

What does it indicate if two lines are parallel when graphing a system of equations?

Back

The system has no solutions.

Front

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

Back

The solution is the point (-1, -2).

Front

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

Back

Two parallel lines that never intersect.

Front

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

Back

The system has infinitely many solutions.

Front

How can you determine if a system of equations has one solution, no solutions, or infinitely many solutions?

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.

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 does the point of intersection represent in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.