right in equation in slope intercept form of the line passes through the given point and is parallel to graph of the given equation (2,-1); y= -3/2x +6

Question

possible answers 

 

A) y=-3/2x+1

 

B) y= -3/2x -1

 

C) y= -3/2x +2

 

D) y=-3/2x +4

Answer 1

Parallel to: y= -3/2x +6, so m=-3/2  and  through (2,-1)

 

So y=(-3/2)x+b  which gives  -1=(-3/2)2+b  after plugging in the point

--> -1=-3+b so b=2 and the line is: y=(-3/2)x+2

 

Answer 2

y - (-1) = (-3/2)(x - 2)

y + 1 = (-3/2)x + 3

y = (-3/2)x + 2

 

C