System of Linear Equations Graph

Find the solution to the graphed system of equations

• (2, -3)

• No solutions

• Infinite solutions

• (-4, 0)

How many solutions does this system of linear equations have?

• one

• infinite solution

• no solutions

• two

Using your graph paper, solve the following system of equations.

• Infinite solutions

• (0, 0)

• No solutions

• (2, 0)

Using your graph paper, solve the following system of equations.

• (-2, 1)

• no solutions

• (-2, 0)

• (-1, -3)

•  a. y = ½ x + 2

  y = –x – 3  

• b. y = ½ x + 2

  y = x – 3

• c. y = –½ x – 3

      y = –x + 2   

• d. y = –½ x + 3

  y = x + 2

How many solutions will this system have?

• One

• Two

• No Solution

• Infinity

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.

•    a. y = 2x + 4

  y = 3x + 1

• b. y = 2x + 4

  y = –3x + 1

     

• c. y = –2x + 1    

   y = –3x + 4 

• d. y = 2x + 1

  y = –3x + 4

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

Groups:

(a) True

,

(b) False

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

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

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

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

• The slope(m) of the lines are equal

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

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)