Solving Systems by Graphing and Substitution

Front

What is the point of intersection of two lines?

Back

The point where two lines meet on a graph, represented as (x, y).

Front

How do you solve a system of equations by graphing?

Back

By plotting both equations on the same graph and identifying the point(s) where they intersect.

Front

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

Back

It means there is no solution, as the lines will never intersect.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is a system of linear equations?

Back

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

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point, indicating a unique solution for the variables.

Front

What is the graphical representation of the equation y = mx + b?

Back

A straight line where m is the slope and b is the y-intercept.

Front

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

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the significance of the coordinates (4, -2) in a system of equations?

Back

It represents the point of intersection of two lines in the system.

Front

What does the term 'inconsistent system' refer to?

Back

A system of equations that has no solution.