Solving Systems of Equations by Graphing

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 point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation and check if both equations are true.

Front

What is the graphical representation of a system of equations?

Back

The lines representing each equation on a coordinate plane.

Front

What does it mean when two lines intersect on a graph?

Back

It means that there is a unique solution to the system of equations.

Front

What is the significance of parallel lines in a system of equations?

Back

Parallel lines indicate that there is no solution to the system.

Front

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

Back

It means that the equations represent the same line, and every point on the line is a solution.

Front

What is the point of intersection of two lines?

Back

The point where the two lines meet, representing the solution to the system.

Front

How do you graph a linear equation?

Back

Find two or more points that satisfy the equation and plot them 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.