Systems of Equations: Graphing

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=3x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=x+2

y=x-5

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect.

• All of the above.

Tags

CCSS.8.EE.C.8B

How do you solve a system of equations graphically?

• Graph both lines and look for the intersection point(s).

• Graph both lines and look for the y-intercepts

• Graph both lines and compare the differences in their slopes

• Graph both lines and find the difference in the y-values and x-values.

Tags

CCSS.8.EE.C.8B

The system's solution occurs at

• (1, 4)

• (4, 1)

• (-4, 1)

• No solution

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Tags

CCSS.8.EE.C.8B