estephanicaravez estephanicaravez
  • 24-05-2022
  • Mathematics
contestada

Slope of a line perpendicular to the lime y=3/5x-12/5?

Respuesta :

jimrgrant1 jimrgrant1
  • 24-05-2022

Answer:

- [tex]\frac{5}{3}[/tex]

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{3}{5}[/tex] x - [tex]\frac{12}{5}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{3}{5}[/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{3}{5} }[/tex] = - [tex]\frac{5}{3}[/tex]

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