4-2 Practice "Writing Systems from a Graph"

Which graph represents a system of equations with a solution of

 $\left(-3,\ 4\right)?$  

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The line graphed represents the first of two equations in a system. If the 2nd equation in the system passes through

 $\left(-4,\ -1\right)$  and  $\left(3,\ 6\right),$  what would be the solution to the system? 

• The only solution to the system is  $\left(0,\ -1\right).$  

• The system would have infinitely many solutions. 

• The only solution to the system is  $\left(2,\ 1\right).\$  

• The system would have no solution. 

A system of equations is graphed. Which system of equations does the graph represent?

• $y=-x-2$
  $y=3x+2$
  

• $y=x+2$
  $y=-3x-2$
  

• $y=x-2$
  $y=-3x+2$
  

• 
  

  $y=-x+2$
  

  $y=3x-2$
  
  

A system of equations is graphed. Which system of equations does the graph represent?

• $y=\frac{1}{3}x+4$
  $y=\frac{5}{3}x$
  

• $y=-\frac{1}{3}x+4$
  $y=-\frac{5}{3}x$
  

• $y=-3x+4$
  $y=-\frac{3}{5}x$
  

• $y=3x+4$
  $y=\frac{3}{5}x$
  

A system of equations is graphed. Which system of equations does the graph represent?

• $y=-2x+2$
  $y=\frac{2}{3}x-3$
  

• $y=-2x-2$
  $y=\frac{2}{3}x+3$
  

• $y=2x+2$
  $y=-\frac{2}{3}x-3$
  

• $y=2x-2$
  $y=-\frac{2}{3}x+3$
  

Mrs. Mayberry is trying to decide between two nanny services. Nanny service #1 charges a flat transportation fee of $15 plus $20 per hour. Nanny service #2 charges a flat transportation fee of $5 plus $30 per hour. Write two equations (one for each nanny service) to represent the total charges, y, for x hours.

• $y=15x+20$
  $y=5x+30$
  

• $y=20x+15$
  $y=30x+5$

• $y=20x+5$
  $y=30x+15$
  

• $y=15x+30$
  $y=5x+20$
  

*REVIEW*

Solve for x.

 $-6\left(x-5\right)=-2\left(x+11\right)$  

Do not type the x=.  Only type the number. 

A system of equations if graphed. Which system represents the graph?

• $2x-3y=0$
  $x+3y=-9$
  

• $-2x+3y=0$
  $-x-3y=-9$
  

• $2x+3y=0$
  $x-3y=9$
  

• $3x-2y=0$
  $x-3y=-9$
  

The line graphed represents the first of two equations in a system. If the 2nd equation in the system passes through

 $\left(-3,\ 1\right)$  and has a slope of  $-5,$  what would be the solution to the system?

• There is one solution at  $\left(-4,\ 6\right).$  

• There is no solution.

• There are infinitely many solutions.

• There is one solution at  $\left(0,\ 5\right).$  

*REVIEW*

The graph of  $f\left(x\right)=x$  is transform to  $g\left(x\right)=-\frac{1}{2}x-3.$  Select all the transformations that occurred.

• Shifts up 3 units

• Shifts down 3 units

• Reflects across the x-axis

• Vertical stretch

• Vertical compression