System of Equations from Graph

What is the system of equation represented in this graph?

What is the system of equation represented in this graph?

• Y-X=2 and X+Y=4

• X-Y=2 and Y-4=X

• X+Y=2 and X-Y=4

• Y-X=2 and Y-X=4

The graphs of two linear equations are shown. What is the solution to the system of equations?

Write answer as a coordinate point. Use parenthesis. No spaces.

Ex: (-10,4)

The graphs of two linear equations are shown. What is the solution to the system of linear equations?

Careful! Look at how we are counting!!

Write answer as a coordinate point. Use parenthesis. No spaces.

Ex: (-10,4)

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines are perpendicular which means they will not ever cross.

• The lines will not intersect, so the system has no solution

• The line are parallel, so the system has no solution

• The slopes are equal, so the system has infinitely many solutions

• The slope(m) of the lines are equal

• The lines will eventually touch, so the system has one solution

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

• The solution to the system is (10,5)

• The only solution to the system is (0,14)

• The system has no solution.

• The system has infinite solutions.

What is the solution to this system? (x, y)

^{What is the solution to the system?} 

• (1,1)

• -2

• (1, 2)

• (1, -1)