SOLUTION: The point(-4,K)and(2,1.75)lies on the graph of y=|X+B|.find the possible values of the constant B and the corresponding of the constant K.B and K should have two answers.

Algebra ->  Graphs -> SOLUTION: The point(-4,K)and(2,1.75)lies on the graph of y=|X+B|.find the possible values of the constant B and the corresponding of the constant K.B and K should have two answers.      Log On


   

Question 1159490: The point(-4,K)and(2,1.75)lies on the graph of y=|X+B|.find the possible values of the constant B and the corresponding of the constant K.B and K should have two answers.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Substitute the known pair of (x,y) values in the equation.

1.75+=+abs%282%2BB%29

2%2BB+=+1.75 OR 2%2BB+=+-1.75

case 1: 2%2BB+=+1.75
B+=+-0.25

Use that value of B to find K.

K+=+abs%28-4%2B%28-0.25%29%29+=+abs%28-4.25%29+=+4.25

(B,K) = (-0.25,4.25)

case 2: 2%2BB+=+-1.75
B+=+-3.75

Use that value of B to find K.

K+=+abs%28-4%2B%28-3.75%29%29+=+abs%28-7.75%29+=+7.75

(B,K) = (-3.75, 7.75)