SOLUTION: 4. Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties: g(2) = 9 g(-1

Algebra ->  Functions -> SOLUTION: 4. Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties: g(2) = 9 g(-1      Log On


   

Question 629919: 4. Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
g(2) = 9
g(-1) = -1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Find the formula for the linear function that passes through the point P = ( -4, -1 ) 

and is perpendicular to the linear function g(x) which has the properties:

 g(2) = 9

 g(-1) = -1

As Ordered Pairs(x,y)

(2,9)

(-1,-1)  m = 10/3   m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29  

New Line:        

 y = mx + b      || Note perpendicular... m = -3/10

y = (-3/10)x + b

-1+=+%28-3%2F10%29%2A%28-4%29+%2B+b   Using pt(-4,-1) to solve for b

 -22/10 = b

y = (-3/10)x -22/10     or in standard form  3x + 10y = -22