FLASHCARD: SYSTEMS OF EQUATIONS- GRAPHING METHOD

Front

What is a system of equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

The system has no solution because the lines never intersect.

Front

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

Back

The system has an infinite number of solutions because every point on the line is a solution.

Front

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

Back

The point where the two lines intersect on a graph.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 2?

Back

The y-intercept is 2.

Front

What is the solution to the system of equations y = -3x + 2 and y = 3x - 2?

Back

(1, -1) - This is the point where the two lines intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the solution to the system of equations y = -3x + 2 and y = -3x + 2?

Back

Infinite Number of Solutions - The lines are the same.