Solving Systems of Equations by Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

If the solution is infinitely many, the lines will ________?

Back

Overlap each other.

Front

These two lines intersect at _____: (4, -2), (4, 2), (-2, 4), No solution?

Back

(4, -2).

Front

What is the solution to a systems of equations?

Back

The point or points where they intersect, what the lines have in common, either a single point, infinite number of points or no points - ALL OF THE ABOVE.

Front

How many solutions will this system have? One, Two, No Solution, Infinitely Many Solutions?

Back

One.

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 two lines to be parallel in a system of equations?

Back

They have no points in common, meaning there is no solution.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines intersect.

Front

What does it mean if two lines overlap when graphed?

Back

It means there are infinitely many solutions.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x).