8G Checkpoint#13 Solutions to Graphs of Systems Equations

Front

What is the solution to the system of equations represented by the graphs of two linear equations?

Back

The solution is the point where the two graphs intersect.

Front

What does it mean if two lines are parallel?

Back

Parallel lines never intersect because they have the same slopes.

Front

How can you estimate the solution to a system of linear equations from a graph?

Back

Look for the point where the two lines intersect.

Front

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

Back

There are infinitely many solutions.

Front

What does it mean if two lines intersect at a single point?

Back

The system of equations has one unique solution.

Front

What is the meaning of 'no solution' in a system of equations?

Back

No solution means the lines are parallel and will never intersect.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at exactly one point.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you determine the slope of a line from its graph?

Back

The slope is determined by the rise over run between two points on the line.

Front

What is the general form of a linear equation?

Back

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