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Alja [10]
3 years ago
10

help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and

(–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14
Mathematics
2 answers:
andrezito [222]3 years ago
6 0

Answer:  d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

(y-b)=\dfrac{d-b}{c-a}(x-a)

Equation of a line passing through (2, 18) and (–3, 8):

(y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14

Comparing resulting equation y=2x+14 to y = m x + b, we get value of b= 14.

Hence, correct option is d) 14

Rudiy273 years ago
6 0

Answer:

D

Step-by-step explanation:

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