3D/4A Review

If 2 lines have the same slope, but different y-intercepts, then the system has....

• exactly one solution

• no solution

• infinitely many solutions

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

• Parallel lines
• the same line 
• Intersecting lines

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Write the system of equations that is graphed.

• y = -x + 4

  y = x - 8

• y = -2x + 4

  y = 1/2x - 8

• No Solution 
• y = -x + 4

  y = x + 8

Solve this system of equations by graphing.

x - 2y = -4

3x + y = 9

Use grid paper!

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

Write the equation of a line that contains these points in Slope-Intercept Form:

[HiNT: STAT Edit]

Mathematical Equivalence

ON

Is the ordered pair (-3, -7) a solution to the following system? 
y = 4x + 5
y = x – 4

• YES
• NO
• This system has infinitely many solutions.

• This system has NO Solutions.

Based on the equations for each line, determine how many solutions the system would have.

y = 2x + 3

y = -4x + 3

• Infinitely many Solutions

• No Solution

• Exactly one Solution

What is the solution to the following system of equations? (Remember to put parentheses in your answer with NO SPACES).

(a)  

The annual profits for a company are given in the following table, where x represents the number of years since 2006, and y represents the profit in thousands of dollars. Which is the linear regression equation that represents this set of data?

• y = -25x - 150

• y = 25x + 150

• y = 150x + 25

• y = -150x + 25