Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y = 2x ; (5, −5)

The equation is y = .

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  y = -0.50x -2.50

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line:

  m = -1/2

The given point can be used with this slope in the point-slope equation for a line:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +5 = -1/2(x -5)

  y = -1/2x +5/2 -5

  y = -0.50x -2.50

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