Solving Systems by Graphing Assignment

Front

What is the solution to the system of equations when graphed?

Back

The solution is the point where the two lines intersect.

Front

The solution to a system of equations is the place at which the lines ___________.

Back

intersect.

Front

What does it mean if two lines in a system of equations have the same slope?

Back

They are parallel and will never intersect, resulting in no solution.

Front

Back

Front

Back

A line with a slope of 3 and a y-intercept of 9.

Front

If two lines intersect at the point (4, -2), what does this indicate about the system of equations?

Back

The system has a unique solution at (4, -2).

Front

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

Back

The lines are parallel and do not intersect.

Front

How can you determine the solution to a system of equations by graphing?

Back

By plotting both equations on the same graph and identifying the intersection point.

Front

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

Back

It is the point where the line crosses the y-axis.

Front

What does it mean if two lines in a system of equations intersect at more than one point?

Back

The lines are the same, indicating infinitely many solutions.