Respuesta :

The answer would be the negative reciprocal of 5, so -1/5.

Answer:

The value of m is [tex]\frac{-1}{5}[/tex] .

Step-by-step explanation:

As given

If y=mx+b is the equation of a line perpendicular to the line y=5x-2 .

By using the property

Line perpendicular to another line  has a slope that is the negative reciprocal of the slope of the other line.

Thus

[tex]m = \frac{-1}{5}[/tex]

Therefore the value of m is [tex]\frac{-1}{5}[/tex] .

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