Solving Systems by Graphing

Front

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

Back

The two lines intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a point is a solution to a system of equations?

Back

The (x,y) coordinates must satisfy both equations.

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = -x + 2?

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The two lines coincide (are the same line).

Tags

CCSS.8.EE.C.8A

Front

What is the slope of a line represented by the equation y = 3x + 4?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

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

Back

Set y = 0 and solve for x.

Front

What is the y-intercept of the equation 2x - 3y = 6?

Back

The y-intercept is -2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'consistent' mean in relation to a system of equations?

Back

A consistent system has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does the term 'inconsistent' mean in relation to a system of equations?

Back

An inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B