Which of the lines graphed in the diagram represents the equation

x – 3y = –3?

A.

line a

B.

line b

C.

line c

D.

line d

Question

Which of the lines graphed in the diagram represents the equation 

x – 3y = –3?
  
 
  


  

  A. 
 
line a
   
    


  

  B. 
 
line b
   
    


  

  C. 
 
line c
   
    


  

  D. 
 
line d

pepsicola.nymph · Answer

attachment

shadowlegendx · Answer

You have to change this into y = mx + b form

shadowlegendx · Answer

aka slope intercept form

shadowlegendx · Answer

Do you know how to do that?

squidnnneyyy · Answer

Slope intercept formula is y=mx+b. Meaning that y is on one side an x is on the other

squidnnneyyy · Answer

Do you know how to get x on one side?

shadowlegendx · Answer

$$x – 3y = –3$$

Subtract x from both sides

$$-3y = -x - 3$$

Divide the entire equation by -3

$$y = 1/3x + 1$$

shadowlegendx · Answer

So we're looking for a line that has a positive slope of 1/3 and intercepts the y axis at 1

pepsicola.nymph · Answer

line a ??

shadowlegendx · Answer

shadowlegendx · Answer

See how negative declines, whilst positive inclines?