Graphing Systems of 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 two lines to intersect on a graph?

Back

It means that the two equations have a common solution, represented by the point of intersection.

Front

How do you find the solution to a system of equations graphically?

Back

By graphing both equations and identifying the point where they intersect.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What does a negative slope indicate?

Back

It indicates that as one variable increases, the other variable decreases.

Front

What does an undefined slope indicate?

Back

It indicates a vertical line, where the x-value does not change.

Front

What does a zero slope indicate?

Back

It indicates a horizontal line, where the y-value does not change.

Front

What is the meaning of 'infinitely many solutions' in a system of equations?

Back

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

Front

How do you write an equation for total cost based on hourly rental?

Back

C = 2h + 15, where C is total cost and h is hours rented.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph both equations on the same coordinate plane.