Kaylajanae5042 Kaylajanae5042
  • 03-09-2017
  • Mathematics
contestada

Find an equation of a linear function given h(1)=6 and h(4)=-3

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barnuts
barnuts barnuts
  • 13-09-2017

We can rewrite this in the form of h (t):

at t = 1, h = 6

at t = 4, h = -3

 

The linear equation is in the form of:

h = mt + b

where m is the slope and b is the h-intercept

 

So calculating for the slope m:

m = [-3 – 6] / (4 – 1)

m = (-9) / 3

m = -3

 

So,

h = -3t + b

Solving for b by plugging in any pair:

6 = -3(1) + b

b = 9

 

Therefore:

h = -3t + 9

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