Systems of Equations Using Graphs

Write the solution to this system of equations using a coordinate pair, (x,y), with no spaces.

y = -4x

-2x + y = -6

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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. 

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

What kind of lines have no solution to a system of equations

• Parallell Lines

• Overlapping lines

• Intersecting Lines

• Skew Lines