System of Equations Part 4

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the point(s) where the equations intersect.

Front

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

Back

It means that the lines represented by the equations are parallel and will never intersect.

Front

What does it mean if a system of equations has one solution?

Back

It means that the lines represented by the equations intersect at exactly one point.

Front

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

Back

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

Front

How can you determine if two equations are parallel?

Back

Two equations are parallel if they have the same slope but different y-intercepts.

Front

How can you determine if two equations are the same line?

Back

Two equations are the same line if they have the same slope and the same y-intercept.

Front

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

Back

Front

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

Back

You graph both equations on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

Front

Back

The slope of the line is 3.