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What is the equation, in point-slope form, for a line that goes through (8, −4)(8, −4) and has a slope of −56−56 ?

y−4=−56(x+8)

y+4=−56(x+8)

y+4=−56(x−8)

y−4=−56(x−8)

Verified Answer :

nini2018s5

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Answer:

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The equation of the line, in point-slope form, is given by:

\(y + 4 = -\frac{5}{6}(x - 8)\), given by the third option.

The equation of a line, in point-slope form, has the following format:

\(y - y_0 = m(x - x_0)\)

In which:

  • The slope is m.
  • The point is \((x_0, y_0)\).

In this problem:

  • Point (8, -4), thus \(x_0 = 8, y_0 = -4\).
  • Slope of -5/6, thus \(m = -\frac{5}{6}\)

The equation is:

\(y - y_0 = m(x - x_0)\)

\(y - (-4) = -56(x - 8)\)

\(y + 4 = -\frac{5}{6}(x - 8)\)

A similar problem is given at https://brainly.com/question/13967935

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