Number of Solutions Graphs

Graph to find the solution to the system of equations: 

6x + 7y = 20

y = 2x 

Graph to find the solution to the system of equations: 

-4x + 2y = 14

y = 6x + 11

Graph to find the solution to the system of equations: 

y = 4

x = -6

If a system of equations has one solution, what does the graph look like? 

If a system of equations has infinity many solutions, what does the graph look like? 

What is the number of solutions to the system of equations?

Graph to determine the number of solutions:

y = -x + 4

y = -x + 2

Graph to determine the number of solutions:

y = 4x + 3

y = x - 6

Graph to determine the number of solutions:

y = x

y = -x

Graph to determine the number of solutions:

x + y = 10

y = -x + 10

When trying to determine the number of solutions without graphing, both lines should be in what form?

T/F? Parallel Lines have the same slopes and different y-intercepts

T/F? Intersecting Lines have different slopes and y-intercepts

Why will this system have infinite solutions?

Without graphing, determine the number of solutions.

4x + 2y = 10

y = -2x

Without graphing, determine the number of solutions.

x + y = 8

x - y = 4

Without graphing, determine the number of solutions.

3y = 6x - 3

y = 2x - 1