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Iteru [2.4K]
3 years ago
12

PLEASE HELP ASAP !! UPVOTING What is the direct linear variation equation for the relationship?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0
Y is varies directly to x
y=kx
10=2k
k=5
y=5x

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eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

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The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

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2 = -1.5*(-3)+b

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2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

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The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

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