Solving Systems of Linear Equations by Graphing y=mx+b

If you graph a system of equations and see PARALLEL LINES, what does this mean about the solution to the system?

• no solution

• one solution

• perpendicular lines

• infinitely many solutions

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

A system has ____________ when two lines intersect at one point. 

• One solution

• No solution

• Infinitely Many Solution

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution

• No solution

• Infinitely Many Solution

To find a solution by graphing is to find the point where two lines intersect.

• True

• False

Solve by graphing. Use your calculator to get the answer!

• (2, 7)

• (7,6)

• (-6,1)

• No Solution

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form. Also, substitution, because one equation is already solved for y. 

• Elimination, because both are already in ax + by = c form. 

• Elimination, because both are already in ax + by = c form. Also, graphing, because both are already in y = mx + b form. 

• None.

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch