Solving 2 Variable Systems Graphically

Front

What does it mean for two lines to be parallel in a graph?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the graphical representation of a system of linear equations?

Back

The graphical representation is the intersection point(s) of the lines representing the equations.

Front

What does it indicate if two lines in a graph intersect at one point?

Back

It indicates that the system of equations has one unique solution.

Front

What does it mean if two lines are coincident?

Back

It means they lie on top of each other, resulting in infinitely many solutions.

Front

What does it mean if two lines are parallel in terms of solutions?

Back

It means there is no solution to the system of equations.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point(s) where the lines intersect on the graph.

Front

What is the solution to the system of equations if the lines are parallel?

Back

No solution.

Front

What is the solution to the system of equations if the lines are coincident?

Back

Infinitely many solutions.

Front

What is the solution to the system of equations if the lines intersect at a single point?

Back

One unique solution, which can be expressed as an ordered pair (x, y).

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1).