Respuesta :

Answer:

4

Step-by-step explanation:

To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )

The equation we are given has a slope of -1/4

So flip the fraction ( we would get -4)

And change the sign ( we would get 4)

So the slope of a line that is perpendicular to y = -1/4x + 5 is 4

Answer:

slope = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form

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

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