Systems of Equations 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 to graph a system of equations?

Back

To plot the equations on a coordinate plane and find their intersection points.

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What are the possible types of solutions for a system of equations?

Back

No solution, one solution, or infinitely many solutions.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations are the same line, overlapping completely.

Front

How do you determine the solution of a system of equations graphically?

Back

By identifying the point(s) where the lines intersect on the graph.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the slope of a line from its equation?

Back

The slope is the coefficient of x in the slope-intercept form.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).