Solving Systems by Graphing

Front

What is the solution (x, y) to a system of equations?

Back

The point where the two equations intersect.

Front

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

Back

They have infinitely many solutions.

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The lines are intersecting.

Front

What is the equation of a line with a slope of 1/4 and a y-intercept of 2?

Back

y = (1/4)x + 2

Front

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

Back

There is no solution to the system.

Front

What is the graphical representation of a system of equations?

Back

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

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect.

Front

What is the slope of a line that goes up 2 units for every 1 unit it goes to the right?

Back

The slope is 2.

Front

What does the y-intercept represent in a linear equation?

Back

The point where the line crosses the y-axis.