lalamcg115
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

3.
Is the relationship shown by the data linear? If so, model the data with an equation.


x
y
–9
–2
–5
–7
–1
–12
3
–17


A. The relationship is not linear.

B. The relationship is linear; y + 9 = -4/5 (x + 2).

C. The relationship is linear; y + 2 = -5/4 (x + 9).

D. The relationship is linear; y + 2 = 4/5 (x + 9).

Sagot :

maddymcg408

Answer:

C.    The relationship is linear; y + 2 = (-5/4)x - 11.25

Step-by-step explanation:

If the relationship f is linear then its graph is a line D of equation y = ax+b

(-9 ,-2)∈D ⇔ -2 = -9a + b  (1)

(-5 , -7)∈D ⇔ -7 = -5a + b (2)

(2)-(1)⇒ -5 = 4a ⇒ a = -5/4

-2 = -9a + b  ⇒ -2 = -9(-5/4) + b ⇒  2 +45/4 = -b ⇒ b = -13.25

then

D : y = (-5/4)x - 13.25 ⇒ y + 2 = (-5/4)x - 11.25

since (-1,-12) and (3,-17) are points of D (easy to check)

then it’s a linear relationship

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.