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

HELP PLEASE .

1 Answer

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Answer:

The answer would be 2x + 7y = 30

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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