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Sati [7]
3 years ago
5

Find the equation of the line 7y=-2x, passing though (8,-2). Express your answer in standard form.

Mathematics
1 answer:
damaskus [11]3 years ago
5 0

Answer:

The answer would be 2x + 7y = 30

Step-by-step explanation:

First we need to find the slope of the original line. We can do this by solving for y.

7y = -2x

y = -2/7x

Now we can use that slope and the point in point-slope form to get the answer. You'll need to solve for the constant.

y - y1 = m(x - x1)

y + 2 = -2/7(x - 8)

y + 2 = -2/7x + 16/7

2/7x + y + 2 = 16/7

2/7x + y = 30/7

2x + 7y = 30

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A car averages 28.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 415 km? Some conversi
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Answer:

34.22 liters

Step-by-step explanation:

Step one:

Given data

A car averages 28.5 miles per gallon of gasoline

How many liters of gasoline will be needed for a trip of 415 km

let us convert 415km to miles first

1 km is 0.621371 miles

415km is x miles

cross multiply we have

x= 415*0.621371

x=257.86 miles

Step two:

if 1 gallon of gasoline will cover 28.5 miles

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cross multiply we have

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divide both sides by 28.5

x= 257.86/28.5

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Step three:

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cross multiply we have

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Answer:

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Parametric equations of the line,  9x + y = -1

Assign any one of the variables equal to s. (say x = s).

By substituting the value x=s in the given equation,

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