Respuesta :

Answer:

perpendicular slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

given a line with slope m then the slope of a line perpendicular to it is

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

the given slope m = 4, hence

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{4}[/tex]


Given that the gradient of line A the gradient of the line perpendicular to the line A, is [tex]-\dfrac{1}{4}[/tex].

How can gradient of perpendicular lines be found?

The gradient of a line is m the gradient of the line that is perpendicular to the given line is [tex]\mathbf{-\dfrac{1}{m}}[/tex].

Therefore;

The gradient of the given line, A = 4

Therefore;

The gradient of the line perpendicular to line A is [tex]\underline{-\dfrac{1}{4}}[/tex]

Learn more about finding the gradient of a line here:

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