Respuesta :
Answer:
- [tex]\frac{1}{4}[/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 )
Given
4x - y = 9 ( subtract 4x from both sides )
- y = - 4x + 9 ( multiply through by - 1 )
y = 4x - 9 ← in slope- intercept form
with slope m = 4
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}{4}[/tex]
