Unit 10 Review - Systems of Equations

Classify the following systems of linear equations:

• IBNP

• 
• Perpendicular

• 
• Coincident

• 
• Parallel

• 

This system has ​ (a)   solution because ​ (b)   .

• 1
• the slopes are different but not perpendicular
• 0
• infinite
• 2
• same slope but different y intercept
• same slope same y intercept
• opposite reciprocal slopes

This system has ​ (a)   ​​ solution(s) because​ (b)   ​ ​ .

• infinite
• same slope & same y intercept
• 0
• 2
• same slope but different y intercept
• opposite reciprocal slopes
• 1
• different slopes not perpendicular

This system has ​​ (a)   solution(s) because​ ​ (b)   ​ .

• 1
• opposite reciprocal slopes
• 0
• 2
• same slope but different y intercept
• same slope same y intercept
• different slope but not perpendicular

This system has ​​ (a)   solution(s) because​ ​ (b)   ​ .

• 0
• same slope different y intercept
• 2
• opposite reciprocal slopes
• same slope same y intercept
• different slope but not perpendicular

What is the solution to the system? Write your answer as an ordered pair (x,y) with no spaces.

Label the points where f(x) = g(x).