Graph Equation of Line

The equation y = 3x + 5 has _____

• unique solution 

• Only two solutions

• Three solutions 

• Infinitely many solutions 

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point

• intersecting at exactly two points.

• coincident. 

•  parallel.

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Solve the following system of equations by graphing:

• (4, -4)

• (-4, 4)

• no solutions

• (0, 0)

Solve the following system of equations by graphing:

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

What is the number of solutions to the system of equations? (Notice there are two lines graphed one on top of the other.)

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tauren graphed the two equations shown in the System of Equations. He discovered that the lines appeared in exactly the same location. What is the solution to this system of equations?

• (-7, -9)

• (-10, 5)

• No Solution

• Infinitely Many Solutions

Identify the graph of system of linear equation whether parallel, intersecting, perpendicular or coinciding.

Determine if the graphs are parallel, intersecting, perpendicular or coinciding.

2x + y = 1 and 2y + 4x = 2

Identify the y - intercepts of the given graphs of system of linear equation. y = 2x + 3 and y = -x -4