Algebra 1 Final Review #3

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect on a graph.

Front

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

Back

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

Front

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

Back

It means the lines intersect at exactly one point, which is the solution to the system.

Front

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

Back

It means the lines are the same line, representing the same equation, and intersect at every point along that line.

Front

How do you determine if two lines are parallel?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What is the point of intersection of two lines?

Back

The point where the two lines cross, representing the solution to the system of equations.

Front

How can you solve a system of equations graphically?

Back

By graphing both equations on the same coordinate plane and identifying the point(s) where they intersect.