Solving Systems of Equations by Graphing

Front

What are systems of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for lines to be parallel?

Back

Parallel lines have the same slope and never intersect.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

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

Back

The lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines are the same, meaning they overlap completely.

Front

How can you determine if two lines are parallel by their equations?

Back

If the slopes (coefficients of x) are equal, the lines are parallel.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines representing the equations.

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

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

The lines intersect at exactly one point.