Graph System of Equations

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

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.

Solve the following system of equations by graphing:

• (4, -4)

• (-4, 4)

• no solutions

• (0, 0)

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

y = 5x and y = 5x - 1

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

Tell if the graphs of system of linear equation is parallel, intersecting, perpendicular or coinciding.

y = 2x + 3 and y = -x - 4

How do lines look like in a system of equations having slopes are not equal and the y-intercepts are not equal?

• coinciding lines

• parallel lines

• perpendicular lines

• intersecting lines