Solve Systems 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 one solution, which is the point where they cross.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The point (x, y) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are parallel?

Back

They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The two lines are identical, meaning they lie on top of each other.

Tags

CCSS.8.EE.C.8A

Front

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

Back

By plotting the lines on a graph and finding their intersection point.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

What does the slope of a line represent in a graph?

Back

The rate of change of y with respect to x.

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 (x=0).

Front

If a system of equations has no solution, what can be said about the lines?

Back

The lines are parallel and will never meet.

Tags

CCSS.8.EE.C.8A