5.2 Graphing Systems

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

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

Back

It means that the system of equations has one unique solution.

Front

What are parallel lines in the context of linear equations?

Back

Lines that never intersect and have no solutions in the system of equations.

Front

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

Back

The lines are parallel and do not intersect.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

How can you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the x and y values into each equation to see if both equations are satisfied.

Front

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

Back

The equations represent the same line, meaning they intersect at every point on that line.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.