Question

which of the following is an equation of a line perpendicular to the equation y=-5x-1:

A.) y=-1/5x+3
B.) y=5x+3
C.) y=-5x+3
D.) y=1/5x+3

Answer 1

answer of this question is c

Answer 2

Lines are perpendicular to each other only if the product of their slopes is equal to -1...

we know that Y = mX + c is slope intercept form of a line where
m = slopes of a line
c = Y - intercept

Given equation y = -5x - 1 have slope m1 = - 5 on comparing by above standard equation of a line...

For a line to be perpendicular on given line we must have m1 × m2 = - 1 where m2 is the slope of other line
=> -5 × m2 = - 1
=> m2 = 1 / 5
Other line must have slope = 1 / 5
We get slope = 1 / 5 from Option D
So Option is D here..