Identify Solution to System of Equations on Graph

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• the lines intersect at one point

• the lines overlap and are the same line

• the lines are parallel and do not intersect

• the lines intersect at more than one point

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Identify the solution to the system using the graph.

• (0,0)

• (1,1)

• (2,2)

• (3,3)

Is the point (2, -1) a solution to the systems of equations below?

y = 5x + 3

y = -2x - 4

• Yes

• No

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above