How do I do this and what is the answer?

Given the equation y - 4 = 3/4 (x + 8) in point-slope form, identify the equation of the same line in standard form.

A) -3/4 x + y = 10
B) 3x - 4y = -40
C) y = 3/4 x + 12
D) y = 3/4 x + 10

Question

How do I do this and what is the answer?

Given the equation y - 4 = 3/4 (x + 8) in point-slope form, identify the equation of the same line in standard form. 
  
A) -3/4 x + y = 10 
 B) 3x - 4y = -40 
 C) y = 3/4 x + 12 
 D) y = 3/4 x + 10

anonymous · Answer

point slope form is : y-y1= m (x-x1)
so y=4
   m= 3/4
  x=8
standard form is ax+by=c

so distribute m in the original equation
y - 4 =  (3/4x + 6)
move -4 to the other side by adding
y= 3/4x +10
re-arrange this information into standard ax+by=c form
-3/4x+y=10