4 Write the equation of the line perpendicular to y = 5x + 1 that passes through the point ( – 5,1).
Type an equation using slope-intercept form or using the given point in point-slope form.
(Use integers or simplified fractions for any numbers in the equation.)

y = -1/5x

Step-by-step explanation:

Using the 'y=mx+c' form for the equation:

Find the slope (m):

Since the product of both slopes should be -1 (if they are perpendicular),

s₁s₂  = -1

5*s₂ = -1

s₂ = -1/5x

Hence, the slope (m) is -1/5x.

Substituting the slope value into 'y=mx+c':

y = -1/5x+c (1)

Substituting the point (-5,1) into the equation (1):

1 = -1/5 * (-5) + c

1 = 1 + c

c = 0

Substitiuting 'c=0' into 'y = -1/5x+c':

y = -1/5x

Hence,

y = -1/5x

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