Solving Systems by Graphing

Front

What is the first step in solving a system by graphing?

Back

Write both linear equations in slope-intercept form.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations graphed by Buzz?

Back

(1, -4)

Tags

CCSS.8.EE.C.8B

Front

How many solutions will a system have if the lines intersect at one point?

Back

One.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE.

Tags

CCSS.HSA.REI.C.8

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 be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, resulting in no solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for two lines to be coincident in a system of equations?

Back

They lie on top of each other, resulting in infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

What is slope-intercept form?

Back

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).