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Randolph is creating rectangle WXYZ so that WX has an equation of y = 1 over 4x + 4. Segment XY must pass through the point (−2, 6). Which of the following is the equation for XY? (4 points)

A. y − 6 = 1/4(x − (−2))

B. y − (−2) = 1/4(x − 6)

C. y − 6 = −4(x − (−2))

D. y − (−2) = −4(x − 6)

Sagot :

sqdancefan

Answer:

 C.  y -6 = -4(x -(-2))

Step-by-step explanation:

You want the equation of the line XY through point (-2, 6) that is perpendicular to the line y = 1/4x +4.

Slope

The slope of the given line is the coefficient of x, 1/4.

The slope of the perpendicular line will be the opposite reciprocal of this:
  m = -1/(1/4) = -4

Point-slope form

The equation of a line with slope m through point (h, k) can be written as ...

  y -k = m(x -h)

We want the line with slope -4 through point (-2, 6), so its equation is ...

  y -6 = -4(x -(-2)) . . . . . . matches choice C

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