Find f(x)

Question

Find the linear function for following properties

f(-6)=-5 and  slope of f is -5/4

Answer 1

Write the relation for slope intercept form.

y = mx+c

   =(-5/4)x+c

y =f(x)

f(x) =(-5/4)x+c

f(-6) =(-5/4)(-6)+c

-5=(-5/4)(-6)+c

-5=(15/2)+c

c=-5-(15/2)

  =-(25)/2

y=(-5/4)x+c

  =(-5/4)x-(25)/2

  =-(5x+50)/2

   = -(5/2)(x+10)