Solving Systems of Equations by Graphing

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The point or points where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines are the same, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

How can you determine the solution of a system of equations by graphing?

Back

By plotting the equations on a graph and finding the intersection point.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The rate at which the line rises or falls, calculated as rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you find the x-intercept of a line?

Back

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