Which line is a graph of the equation: 2x + 5y = 10?

Number graph ranging from negative five to five on the x axis and negative six to two on the y axis. Four lines are drawn in blue on the graph. Lines a and c have a positive slope and are parallel to each other. Lines b and d have a negative slope and are parallel to each other. Lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two).

A.
line a

B.
line b

C.
line c

D.
line d

Question

Which line is a graph of the equation: 2x + 5y = 10?

 Number graph ranging from negative five to five on the x axis and negative six to two on the y axis. Four lines are drawn in blue on the graph. Lines a and c have a positive slope and are parallel to each other. Lines b and d have a negative slope and are parallel to each other. Lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two).  
 
 A.
line a
 
 B.
line b
 
 C.
line c
 
 D.
line d

photon336 · Answer

Well @gemelita1 i'm not sure about what you've written because i'd need to see a figure. But what I can do is re-write the equation in the form: 

$$Y = m(x)+b$$ 

first we isolate y by subtracting 2x from both sides. 

$$2x+5y = 10$$

5y+2x = 10 
    -2x     -2x 


5y = 10-2x 
5       5   5 

Then we divide both sides by 5 

y = 2-(2/5x)

anonymous · Answer

thanks :)