Graphing the System of Linear Equations

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

What is the solution to this system of equations?

• (1,0)

• (-3, -1)

• (-1,-3)

• (1,3)

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)

• (2, 1)

• (4, 5)

• (2, 4)

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

Groups:

(a) True

,

(b) False

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

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

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

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

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

• The slope(m) of the lines are equal

Graph the systems of equations. What is the solution?

Graph the systems of equations. What is the solution?

Solve the following system by graphing.  What is the solution?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -2)

Solve the following system by graphing.  What is the solution?

• Infinity

• (3, 3)

• (3, -3)

• (-3, 3)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)