The line that passes through the point (2, −8) and has a slope of −1 is given by the equation y +
=
(x −
).

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19natjbrewer 19natjbrewer · Answer 1 · 2018-10-01T17:33:25+02:00

The line that passes through the point (2, −8) and has a slope of −1 is given by the equation y + 8 = -1 (x - 2)

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mahendravt mahendravt · Answer 2 · 2022-08-19T14:17:30+02:00

The line that passes through the point (2, −8) and has a slope of −1 is given by the equation y = -x - 6.

A equation of line passing through point (x₁,y₁) and has slope m is given as,

(y - y₁) = m(x - x₁)

Now it is the given that the line passes through point (2, -8) and has slope -1

So, (x₁,y₁) is (2, -8)

and m = -1

Hence the equation of line is given as,

(y - y₁) = m(x - x₁)

Put the values of (x₁,y₁) and m we get,

(y - (-8)) = -1(x - 2)

Expanding them we get

y + 8 = -x + 2

Substracting 8 on both the side of equation we get

y = -x + 2 -8

or, y = -x - 6

which is the required equation of the line.

Hence,the line that passes through the point (2, −8) and has a slope of −1 is given by the equation y = -x - 6.

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