8G Checkpoint#13 Solutions to Graphs of Systems Equations

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have one solution?

Back

It means the graphs of the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

It means the graphs of the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the graphs of the equations are the same line, intersecting at every point.

Front

How do you estimate the solution of a system of equations from a graph?

Back

By identifying the point where the graphs of the equations intersect.

Front

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

Back

The coordinates of the intersection point of the graphs.

Front

If two lines intersect at (2, 3), what is the solution to the system of equations?

Back

(2, 3)

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.