How do you write the equation in point slope form given (4, -5), perpendicular to 2x-5y= -10?

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Answer 1 · 2018-05-25T13:39:07

Equation in point slope form of the perpendicular line and passing through point #(4,-5) # is

#color(indigo)(y + 5 = -(5/2) (x-4)#

#2x - 5y = 10#

#5y = 2x - 10#

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

Slope of the line #m = (2/5)#

Slope of the perpendicular line #= -(1/m) = -(5/2)#

Equation of line with slope #-(5/2)# and passing through point #(4,-5) # is

#color(indigo)(y + 5 = -(5/2) (x-4)#