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scZoUnD [109]
3 years ago
5

2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32

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Step-by-step explanation:

i)=

m=2/3

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y = 5

now

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or, 5 = 2/3× -3 + c

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c =7

now,

y= mx + c

or, y = 2/3×x+7

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so, 3y-2x=21

equation would be 3y-2x=21.

now

ii)=

if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.

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now

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or, 6 = 3y

so, y = 2

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now lets find slope

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slope = (y2-y1)/(x2-x1)

= (2-6)/(3-9)

= -4/-6

= 2/3

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