Write the equation in slope-intercept form of the line that is perpendicular to the graph of each equation and passes through the given point. y = -5x + 1; through (2, -1)

Step-by-step explanation:

The equation is y = 1/5x -7/5

Step-by-step explanation:

The given equation is in the form of y = mx + b

⇒ m = -5

since the line is perpendicular, therefore perpendicular line has a slope reciprocal of the given slope, that is m = 1/5

By using point slope equation  (y-y1) = m(x-x1)

here (y1,x1) = (2,-1) and m = 1/5

(y-(-1)) = (1/5)(x-2)

y+1 = 1/5x -2/5

y+1-1 = 1/5x - 2/5 -1

y = 1/5x -7/5 is the desired equation.  

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