Which is an equation of the given line in standard form?

a. -11x+6y=-13
b.-6x+11y=13
c.-6x+11y=-13
d.-6x+7y=-17

The answer is b.-6x + 11y = 13 because you have two points that they are :
( 3/2 , 2 ) and ( -4 , -1 ) so you can say the slope is 6/11 and then you can say :
2 = 6/11(3/2) + b so b is the y-intercept and you can find it like : 
2 = 9/11 + b ⇒ 2 - 9/11 = b ⇒ 22/11 - 9/11 = b ⇒ 13/11 = b so now we have :
y = 6/11x + 13/11 but the standard form is : ( y = 6/11 x + 13/11 ) 11 ⇒ 
11y = 6x + 13y ⇒ 11y - 6x = 13 :)))
i hope this is helpful 
have a nice day