Solving Systems by Graphing

Front

What is a system of equations?

Back

A set of two (or more) equations that share variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What type of lines result in infinitely many solutions when graphing a system of equations?

Back

Coinciding lines (lines that lie on top of one another).

Tags

CCSS.8.EE.C.8A

Front

How do you solve a system of equations by graphing?

Back

Graph each equation on the same coordinate plane and identify the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations: -4x + 3y = -12 and -2x + 3y = -18?

Back

(-2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines intersect at a single point when graphing a system of equations?

Back

The system has a unique solution.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of the equation y = 2x + 3?

Back

A straight line with a slope of 2 and a y-intercept of 3.

Front

What is the slope of the line represented by the equation 3y = 6x + 9?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

If a system of equations has exactly one solution, what can be said about the lines?

Back

The lines intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

What is the y-intercept of the equation y = -x + 4?

Back

The y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3